tag:blogger.com,1999:blog-32163709244412128642024-03-07T21:19:48.360-08:00ANALISIS DE DATOS EXPERIMENTALESM.C. Luisa Eugenia Gandarilla Castruitahttp://www.blogger.com/profile/05659695304610780298noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-3216370924441212864.post-27093456562872690992011-04-08T10:35:00.000-07:002011-04-08T10:35:37.316-07:00El análisis de la varianza<div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin: 0cm 1.15pt 10pt 26.5pt; mso-add-space: auto; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Supongamos que tenemos <i style="mso-bidi-font-style: normal;">a</i> diferentes niveles para un factor que deseamos comparar.<span style="mso-spacerun: yes;"> </span>La respuesta observada para cada uno de los <i style="mso-bidi-font-style: normal;">a</i> tratamientos es una variable aleatoria.<span style="mso-spacerun: yes;"> </span>Los datos pueden ordenarse como se muestra en la tabla:</span></div><div class="MsoListParagraphCxSpLast" style="line-height: normal; margin: 0cm 1.15pt 10pt 26.5pt; mso-add-space: auto; text-align: justify; text-justify: inter-ideograph;"><br />
</div><div align="center"><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 480;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: black 1pt solid; border-right: black 1pt solid; border-top: black 1pt solid; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><a href="" name="OLE_LINK4"></a><a href="" name="OLE_LINK3"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Nivel (tratamiento)</span></span></a></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td colspan="4" style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: black 1pt solid; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Observaciones</span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: black 1pt solid; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Totales</span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: black 1pt solid; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Promedios</span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></></tr>
<tr style="mso-yfti-irow: 1;"><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: black 1pt solid; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">1</span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<sub>11</sub></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<sub>12</sub></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<sub>1n</sub></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<sub>1.</sub></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<sub>1.</sub></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></></tr>
<tr style="mso-yfti-irow: 2;"><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: black 1pt solid; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">2</span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<sub>21</sub></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<sub>22</sub></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<sub>2n</sub></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<sub>2.</sub></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<sub> 2.</sub></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></></tr>
<tr style="mso-yfti-irow: 3;"><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: black 1pt solid; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">:</span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></></tr>
<tr style="mso-yfti-irow: 4;"><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: black 1pt solid; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><i style="mso-bidi-font-style: normal;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">a</span></i></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<i style="mso-bidi-font-style: normal;"><sub>a</sub></i><sub>1</sub></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<i style="mso-bidi-font-style: normal;"><sub>a</sub></i><sub>2</sub></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<i style="mso-bidi-font-style: normal;"><sub>an</sub></i></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<i style="mso-bidi-font-style: normal;"><sub>a.</sub></i></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<sub> <i style="mso-bidi-font-style: normal;">a.</i></sub></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></></tr>
<tr style="mso-yfti-irow: 5; mso-yfti-lastrow: yes;"><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: black 1pt solid; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y..</span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;" valign="top"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">y<sub>..</sub></span></span></span></div></td><><span style="mso-bookmark: OLE_LINK3;"><span style="mso-bookmark: OLE_LINK4;"></span></span></></tr>
</tbody></table></div><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin: 0cm 1.15pt 10pt 26.5pt; mso-add-space: auto; text-align: justify; text-justify: inter-ideograph;"><br />
</div><span style="mso-bookmark: OLE_LINK4;"></span><span style="mso-bookmark: OLE_LINK3;"></span><div class="MsoListParagraphCxSpMiddle" style="line-height: normal; margin: 0cm 1.15pt 10pt 26.5pt; mso-add-space: auto; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Un dato de la tabla (p.e., yij) representa la j-ésima observación tomada bajo el tratamiento i. esto es en general, n observaciones bajo el i-ésimo tratamiento.</span></div><div class="MsoListParagraphCxSpLast" style="line-height: normal; margin: 0cm 1.15pt 10pt 26.5pt; mso-add-space: auto; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Podemos describir las observaciones con un modelo estadístico lineal de la forma:</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 8.5pt; text-align: justify; text-justify: inter-ideograph;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 8.5pt; text-align: justify; text-justify: inter-ideograph;"><span lang="PT-BR" style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-ansi-language: PT-BR; mso-fareast-font-family: 'MS Mincho';">y<i style="mso-bidi-font-style: normal;"><sub>ij</sub></i>=µ + </span><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">τ</span><i style="mso-bidi-font-style: normal;"><sub><span lang="PT-BR" style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-ansi-language: PT-BR; mso-fareast-font-family: 'MS Mincho';">i</span></sub></i><span lang="PT-BR" style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-ansi-language: PT-BR; mso-fareast-font-family: 'MS Mincho';"> + </span><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">ε</span><i style="mso-bidi-font-style: normal;"><sub><span lang="PT-BR" style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-ansi-language: PT-BR; mso-fareast-font-family: 'MS Mincho';">ij</span></sub></i><span lang="PT-BR" style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-ansi-language: PT-BR; mso-fareast-font-family: 'MS Mincho';"></span></div><div class="MsoListParagraph" style="line-height: normal; margin: 0cm 1.15pt 10pt 26.5pt; mso-add-space: auto; text-align: justify; text-justify: inter-ideograph;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 8.5pt; text-align: justify; text-justify: inter-ideograph;"><span lang="PT-BR" style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-ansi-language: PT-BR; mso-fareast-font-family: 'MS Mincho';">i=1,2,…,<i style="mso-bidi-font-style: normal;">a </i>y<i style="mso-bidi-font-style: normal;"> j</i>=1,2,…,<i style="mso-bidi-font-style: normal;">n</i></span></div><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin: 0cm 1.15pt 10pt 26.5pt; mso-add-space: auto; text-align: justify; text-justify: inter-ideograph;"><br />
</div><div class="MsoListParagraphCxSpLast" style="line-height: normal; margin: 0cm 1.15pt 10pt 26.5pt; mso-add-space: auto; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">donde y<i style="mso-bidi-font-style: normal;"><sub>ij</sub></i><sub> </sub>es la ij-ésima<sub> </sub>observación, µ <span style="mso-spacerun: yes;"> </span>es un parámetro común para todos los tratamientos llamada media general, <span style="mso-spacerun: yes;"> </span>τ<i style="mso-bidi-font-style: normal;"><sub>i</sub></i> es un parámetro único para el i-ésimo tratamiento llamado efecto, y <span style="mso-spacerun: yes;"> </span>ε<i style="mso-bidi-font-style: normal;"><sub>ij</sub></i> es un componente del error aleatorio que mide la desviación del valor observado.</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 18pt; text-align: justify; text-justify: inter-ideograph;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 18pt; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Para pruebas de hipótesis, las variables aleatorias están distribuidas independientemente con µ<sub>0</sub> y varianza σ<sup>2</sup>, la cual se asume como constante para todos los niveles del factor.<span style="mso-spacerun: yes;"> </span>Este modelo es llamado de un solo camino o de análisis de varianza de un factor único. Actualmente, el modelo estadístico de la ecuación describe dos situaciones diferentes con respecto<span style="mso-spacerun: yes;"> </span>a los efectos del tratamiento.<span style="mso-spacerun: yes;"> </span>Primero. Los <i style="mso-bidi-font-style: normal;">a</i> tratamientos pueden haber sido específicamente seleccionados por el experimentador.<span style="mso-spacerun: yes;"> </span>En esta situación deseamos probar hipótesis acerca del tratamiento de medias, y las conclusiones se podrán aplicar solo a los niveles del factor considerados en el análisis.<span style="mso-spacerun: yes;"> </span>Las conclusiones no pueden ser extendidas a tratamientos similares.<span style="mso-spacerun: yes;"> </span>Solo se estimarán los parámetros del modelo.<span style="mso-spacerun: yes;"> </span>Ese es llamado un modelo de efectos fijos.<span style="mso-spacerun: yes;"> </span>Los <i style="mso-bidi-font-style: normal;">a</i> tratamientos pueden ser una muestra aleatorizada de una población grande de tratamientos.<span style="mso-spacerun: yes;"> </span>En este caso, desearemos extender las conclusiones (las cuales están basadas en una muestra de tratamientos) para todos los tratamientos en la población, estén explícitamente considerados en el análisis o no.<span style="mso-spacerun: yes;"> </span>Aquí,<span style="mso-spacerun: yes;"> </span>es la variable aleatoria, y el conocimiento acerca de otras investigaciones en particular es prácticamente inútil.<span style="mso-spacerun: yes;"> </span>Se probarán las hipótesis acerca de la variabilidad de τ. Este método es llamado modelo de efectos aleatorios. </span></div>M.C. Luisa Eugenia Gandarilla Castruitahttp://www.blogger.com/profile/05659695304610780298noreply@blogger.com6tag:blogger.com,1999:blog-3216370924441212864.post-60500927418091441782011-04-08T10:21:00.000-07:002011-04-08T10:32:11.771-07:00Experimentos con un factor<div class="MsoNormal" style="line-height: normal; margin: 0cm 1.1pt 10pt 0cm; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">De los diseños experimentales que vamos a estudiar en la presente unidad, el más sencillo de ellos es el diseño experimental en el que interviene en el proceso un solo factor, es decir, una sola variable independiente, a varios niveles.</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 10pt; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">Un ingeniero está interesado en desarrollar una nueva fibra sintética con una elasticidad máxima que se utilizará para fabricar camisetas para caballero.<span style="mso-spacerun: yes;"> </span>El ingeniero conoce por experiencia previa que la elasticidad es afectada por el porcentaje de algodón añadido a la fibra.<span style="mso-spacerun: yes;"> </span>Así mismo, él sospecha que un incremento en el contenido de la fibra, podría incrementar así mismo la elasticidad de ella.<span style="mso-spacerun: yes;"> </span>Se sabe que el contenido de algodón en un rango del 10 al 40% en el producto final proporciona la elasticidad requerida en nuestro producto.<span style="mso-spacerun: yes;"> </span>Se decide probar muestras a cinco niveles de porcentaje de algodón: 15%, 20%, 25%, 30% y 35%.<span style="mso-spacerun: yes;"> </span>Decide probar cinco especímenes para cada nivel.</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 10pt; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">Este es un ejemplo de un experimento de un factor a cinco niveles con cinco réplicas.<span style="mso-spacerun: yes;"> </span>Las cinco corridas<span style="mso-spacerun: yes;"> </span>deben ser realizadas en orden aleatorio.<span style="mso-spacerun: yes;"> </span>Para ilustrar como correr el experimento en orden aleatorio, supongamos que numeramos las corridas como sigue:</span></div><div align="center"><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 1184;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: black 1pt solid; border-right: black 1pt solid; border-top: black 1pt solid; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">% algodón</span></div></td><td colspan="5" style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: black 1pt solid; mso-border-alt: solid black .5pt; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">Número de corrida experimental</span></div></td></tr>
<tr style="mso-yfti-irow: 1;"><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: black 1pt solid; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">15</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">1</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">2</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">3</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">4</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">5</span></div></td></tr>
<tr style="mso-yfti-irow: 2;"><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: black 1pt solid; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">20</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">6</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">7</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">8</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">9</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">10</span></div></td></tr>
<tr style="mso-yfti-irow: 3;"><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: black 1pt solid; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">25</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">11</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">12</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">13</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">14</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">15</span></div></td></tr>
<tr style="mso-yfti-irow: 4;"><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: black 1pt solid; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">30</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">16</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">17</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">18</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">19</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">20</span></div></td></tr>
<tr style="mso-yfti-irow: 5; mso-yfti-lastrow: yes;"><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: black 1pt solid; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">35</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">21</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">22</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">23</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">24</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: black 1pt solid; border-top: #ece9d8; mso-border-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black .5pt; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">25</span></div></td></tr>
</tbody></table></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 10pt; text-align: justify; text-justify: inter-ideograph;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 10pt; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">Luego se selecciona en orden aleatorio un número del 1 al 25. Supongamos ese número es el número 8.<span style="mso-spacerun: yes;"> </span>Entonces el número de observación 8 (con 20% de porcentaje de algodón) se correrá primero.<span style="mso-spacerun: yes;"> </span>El proceso deberá ser repetido 25 veces, hasta asignar un lugar a cada una de las observaciones. Esto se realiza de esta manera para evitar errores por factores no controlables, tales como que máquina en que se realiza la fibra se descomponga en el proceso, lo que podría contaminar nuestros resultados.<span style="mso-spacerun: yes;"> </span>Supongamos que la secuencia de prueba es la siguiente:</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 10pt; text-align: justify; text-justify: inter-ideograph;"><br />
</div><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 0cm; text-align: center; text-indent: 8.5pt;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">ORDEN ALEATORIO EN EL QUE SE CORRERÁ EL EXPERIMENTO</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 0cm; text-align: justify; text-indent: 8.5pt; text-justify: inter-ideograph;"><br />
</div><div align="center"><table align="left" border="0" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; margin: auto 4.8pt; mso-border-insideh: none; mso-border-insidev: none; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-table-anchor-horizontal: column; mso-table-anchor-vertical: paragraph; mso-table-left: center; mso-table-lspace: 7.05pt; mso-table-overlap: never; mso-table-rspace: 7.05pt; mso-table-top: .05pt; mso-yfti-tbllook: 480;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Secuencia de prueba</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Número de corrida</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Porcentaje de algodón</span></div></td></tr>
<tr style="mso-yfti-irow: 1;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">1</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">8</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">20</span></div></td></tr>
<tr style="mso-yfti-irow: 2;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">2</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">18</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">30</span></div></td></tr>
<tr style="mso-yfti-irow: 3;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">3</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">10</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">20</span></div></td></tr>
<tr style="mso-yfti-irow: 4;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">4</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">23</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">35</span></div></td></tr>
<tr style="mso-yfti-irow: 5;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">5</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">17</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">30</span></div></td></tr>
<tr style="mso-yfti-irow: 6;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">6</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">5</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">15</span></div></td></tr>
<tr style="mso-yfti-irow: 7;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">7</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">14</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">25</span></div></td></tr>
<tr style="mso-yfti-irow: 8;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">8</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">6</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">20</span></div></td></tr>
<tr style="mso-yfti-irow: 9;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">9</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">15</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">25</span></div></td></tr>
<tr style="mso-yfti-irow: 10;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">10</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">20</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">30</span></div></td></tr>
<tr style="mso-yfti-irow: 11;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">11</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">9</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">20</span></div></td></tr>
<tr style="mso-yfti-irow: 12;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">12</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">4</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">15</span></div></td></tr>
<tr style="mso-yfti-irow: 13;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">13</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">12</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">25</span></div></td></tr>
<tr style="mso-yfti-irow: 14;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">14</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">7</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">20</span></div></td></tr>
<tr style="mso-yfti-irow: 15;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">15</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">1</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">15</span></div></td></tr>
<tr style="mso-yfti-irow: 16;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">16</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">24</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">35</span></div></td></tr>
<tr style="mso-yfti-irow: 17;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">17</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">21</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">35</span></div></td></tr>
<tr style="mso-yfti-irow: 18;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">18</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">11</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">25</span></div></td></tr>
<tr style="mso-yfti-irow: 19;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">19</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">2</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">15</span></div></td></tr>
<tr style="mso-yfti-irow: 20;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">20</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">13</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">25</span></div></td></tr>
<tr style="mso-yfti-irow: 21;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">21</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">22</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">35</span></div></td></tr>
<tr style="mso-yfti-irow: 22;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">22</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">16</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">30</span></div></td></tr>
<tr style="mso-yfti-irow: 23;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">23</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">25</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">35</span></div></td></tr>
<tr style="mso-yfti-irow: 24;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">24</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">19</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">30</span></div></td></tr>
<tr style="mso-yfti-irow: 25; mso-yfti-lastrow: yes;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">25</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">3</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; mso-element-anchor-horizontal: column; mso-element-anchor-vertical: paragraph; mso-element-frame-hspace: 7.05pt; mso-element-left: center; mso-element-top: .05pt; mso-element-wrap: around; mso-element: frame; mso-height-rule: exactly; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">15</span></div></td></tr>
</tbody></table></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 0cm; text-align: justify; text-indent: 8.5pt; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';"><br clear="all" style="mso-special-character: line-break;" /></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 0cm; text-align: justify; text-indent: 8.5pt; text-justify: inter-ideograph;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 0cm; text-align: justify; text-indent: 8.5pt; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Para ilustrar este ejemplo, supongamos que los resultados obtenidos después de correr aleatoriamente nuestro experimento son los siguientes:</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 0cm; text-align: justify; text-indent: 8.5pt; text-justify: inter-ideograph;"></div><div align="center"><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 480;"><tbody>
<tr style="height: 13.8pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td rowspan="2" style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: windowtext 1pt solid; height: 13.8pt; mso-border-bottom-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><a href="http://www.blogger.com/" name="OLE_LINK2"></a><a href="http://www.blogger.com/" name="OLE_LINK1"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Porcentaje de algodón</span></span></a></div></td></></><td height="18" style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; height: 13.8pt;"></td></tr>
<tr style="mso-yfti-irow: 1;"></></><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: black 1pt solid; mso-border-bottom-alt: solid windowtext .5pt; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">1</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: black 1pt solid; mso-border-bottom-alt: solid windowtext .5pt; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">2</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: black 1pt solid; mso-border-bottom-alt: solid windowtext .5pt; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">3</span></span></span></div></td></></><> </><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: black 1pt solid; mso-border-bottom-alt: solid windowtext .5pt; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">4</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: black 1pt solid; mso-border-bottom-alt: solid windowtext .5pt; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">5</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8;"><div class="MsoNormal" style="margin: 0cm 0cm 10pt;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 2;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">15</span></span></span></div></td></></><> </><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">7</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">7</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">15</span></span></span></div></td></></><> </><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">11</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">9</span></span></span></div></td></></><> </><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8;"><div class="MsoNormal" style="margin: 0cm 0cm 10pt;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 3;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">20</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">12</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">17</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">12</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">18</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">18</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8;"><div class="MsoNormal" style="margin: 0cm 0cm 10pt;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 4;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">25</span></span></span></div></td></></><> </><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">14</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">18</span></span></span></div></td></></><> </><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">18</span></span></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">19</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">19</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8;"><div class="MsoNormal" style="margin: 0cm 0cm 10pt;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 5;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">30</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">19</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">25</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">22</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">19</span></span></span></div></td></></><> </><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">23</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8;"><div class="MsoNormal" style="margin: 0cm 0cm 10pt;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 6;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">35</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">7</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">10</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">11</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">15</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">11</span></span></span></div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8;"><div class="MsoNormal" style="margin: 0cm 0cm 10pt;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 7; mso-yfti-lastrow: yes;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"></span></span><br />
<div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td></></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid black .5pt; mso-border-bottom-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"></span></span><br />
<div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td></></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid black .5pt; mso-border-bottom-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"></span></span><br />
<div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td></></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid black .5pt; mso-border-bottom-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"></span></span><br />
<div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td></></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid black .5pt; mso-border-bottom-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"></span></span><br />
<div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td></></><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid black .5pt; mso-border-bottom-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><span style="mso-bookmark: OLE_LINK1;"><span style="mso-bookmark: OLE_LINK2;"></span></span><br />
<div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td></></><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8;"><div class="MsoNormal" style="margin: 0cm 0cm 10pt;"><br />
</div></td></tr>
</tbody></table></div><span style="mso-bookmark: OLE_LINK2;"></span><span style="mso-bookmark: OLE_LINK1;"></span><br />
<div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 0cm; text-align: justify; text-indent: 8.5pt; text-justify: inter-ideograph;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 0cm; text-align: justify; text-indent: 8.5pt; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">De estos datos, obtenemos las siguientes sumatorias y promedios:</span></div><div align="center"><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; mso-border-alt: solid black .5pt; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 480;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td rowspan="2" style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: windowtext 1pt solid; mso-border-bottom-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Porcentaje de algodón</span></div></td><td colspan="7" style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: black 1pt solid; mso-border-bottom-alt: solid windowtext .5pt; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Observaciones</span></div></td></tr>
<tr style="mso-yfti-irow: 1;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">1</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">2</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">3</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">4</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">5</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">total</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">promedio</span></div></td></tr>
<tr style="mso-yfti-irow: 2;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">15</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">7</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">7</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">15</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">11</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">9</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">49</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-top-alt: solid black .5pt; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">9.8</span></div></td></tr>
<tr style="mso-yfti-irow: 3;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">20</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">12</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">17</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">12</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">18</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">18</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">77</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">15.4</span></div></td></tr>
<tr style="mso-yfti-irow: 4;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">25</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">14</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">18</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">18</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">19</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">19</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">88</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">17.6</span></div></td></tr>
<tr style="mso-yfti-irow: 5;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">30</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">19</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">25</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">22</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">19</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">23</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">108</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">21.6</span></div></td></tr>
<tr style="mso-yfti-irow: 6;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">35</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">7</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">10</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">11</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">15</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">11</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">54</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">10.8</span></div></td></tr>
<tr style="mso-yfti-irow: 7; mso-yfti-lastrow: yes;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid black .5pt; mso-border-bottom-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid black .5pt; mso-border-bottom-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid black .5pt; mso-border-bottom-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid black .5pt; mso-border-bottom-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid black .5pt; mso-border-bottom-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">376</span></div></td><td style="background-color: transparent; border-bottom: black 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid black .5pt; mso-border-bottom-themecolor: text1; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 0pt 0cm; text-align: center;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">15.04</span></div></td></tr>
</tbody></table></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 0cm; text-align: justify; text-indent: 8.5pt; text-justify: inter-ideograph;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 0cm; text-align: justify; text-indent: 8.5pt; text-justify: inter-ideograph;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 0cm; text-align: justify; text-indent: 8.5pt; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Al graficar los resultados anteriores, se obtiene una gráfica de la siguiente forma: (realiza la gráfica con los datos de la tabla anterior, con el porcentaje de algodón en el eje de las x y la elasticidad en el eje de las y).</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 0cm; text-align: justify; text-indent: 8.5pt; text-justify: inter-ideograph;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 10pt; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-no-proof: yes;"><shapetype coordsize="21600,21600" filled="f" id="_x0000_t75" o:preferrelative="t" o:spt="75" path="m@4@5l@4@11@9@11@9@5xe" stroked="f"><stroke joinstyle="miter"></stroke><formulas><f eqn="if lineDrawn pixelLineWidth 0"></f><f eqn="sum @0 1 0"></f><f eqn="sum 0 0 @1"></f><f eqn="prod @2 1 2"></f><f eqn="prod @3 21600 pixelWidth"></f><f eqn="prod @3 21600 pixelHeight"></f><f eqn="sum @0 0 1"></f><f eqn="prod @6 1 2"></f><f eqn="prod @7 21600 pixelWidth"></f><f eqn="sum @8 21600 0"></f><f eqn="prod @7 21600 pixelHeight"></f><f eqn="sum @10 21600 0"></f></formulas><path gradientshapeok="t" o:connecttype="rect" o:extrusionok="f"></path><lock aspectratio="t" v:ext="edit"></lock></shapetype><shape id="Imagen_x0020_1" o:spid="_x0000_i1025" style="height: 315.75pt; mso-wrap-style: square; visibility: visible; width: 396.75pt;" type="#_x0000_t75"><imagedata o:title="" src="file:///C:\DOCUME~1\user\CONFIG~1\Temp\msohtmlclip1\01\clip_image002.emz"></imagedata></shape></span><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;"></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 0cm; text-align: justify; text-indent: 8.5pt; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">En la gráfica se puede observar que la elasticidad se incrementa conforme el contenido de algodón es incrementado hasta el 30 % de algodón.<span style="mso-spacerun: yes;"> </span>Por arriba del 30%, hay una marcada disminución en la elasticidad. Basándonos en el análisis de la gráfica, podemos sospechar que:</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 0cm; text-align: justify; text-indent: 8.5pt; text-justify: inter-ideograph;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 32.2pt; mso-list: l0 level1 lfo1; tab-stops: list 32.2pt; text-align: justify; text-indent: -18pt; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;">1.<span style="font-family: 'Times New Roman';"> </span></span></span><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">el contenido de algodón afecta la elasticidad de la fibra, y </span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.15pt 10pt 32.2pt; mso-list: l0 level1 lfo1; tab-stops: list 32.2pt; text-align: justify; text-indent: -18pt; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: Arial;"><span style="mso-list: Ignore;">2.<span style="font-family: 'Times New Roman';"> </span></span></span><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">alrededor del 30% de algodón se alcanza la elasticidad máxima.</span></div><div class="MsoListParagraphCxSpFirst" style="line-height: normal; margin: 0cm 1.15pt 10pt 26.5pt; mso-add-space: auto; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Supongamos que deseamos ser más objetivos en el análisis de los datos.<span style="mso-spacerun: yes;"> </span>Específicamente, supongamos que deseamos probar la diferencia entre la elasticidad media de todos los a=5 niveles de porcentaje de algodón.<span style="mso-spacerun: yes;"> </span>Esto es, estamos interesados en probar la igualdad de las cinco medias.<span style="mso-spacerun: yes;"> </span>Podríamos pensar en resolver el problema utilizando una prueba t para todos los posibles pares de medias.<span style="mso-spacerun: yes;"> </span>Esta solución podría ser incorrecta, dado que tendríamos un error tipo I acumulado en cada una de las pruebas de hipótesis realizadas. Si decidimos comparar los posibles pares, tendríamos 10 pares, y si la probabilidad de aceptar la hipótesis nula para cada<span style="mso-spacerun: yes;"> </span>prueba individual es 1-α=0.95, entonces la probabilidad de aceptar correctamente la hipótesis nula de las diez pruebas es (0.95)<sup>10</sup>=0.60, si las pruebas son independientes.<span style="mso-spacerun: yes;"> </span>Esto es un incremento sustancial de que ocurra un error tipo I.</span></div><div class="MsoListParagraphCxSpLast" style="line-height: normal; margin: 0cm 1.15pt 10pt 26.5pt; mso-add-space: auto; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">El método apropiado para probar la igualdad entre muchas medias es el análisis de la varianza.<span style="mso-spacerun: yes;"> </span>Así mismo, el análisis de la varianza se puede aplicar a este problema en particular.<span style="mso-spacerun: yes;"> </span>Es una técnica muy utilizada dentro de la estadística inferencial.</span></div>M.C. Luisa Eugenia Gandarilla Castruitahttp://www.blogger.com/profile/05659695304610780298noreply@blogger.com6tag:blogger.com,1999:blog-3216370924441212864.post-27996637724514723572011-04-08T10:15:00.001-07:002011-04-08T10:15:21.063-07:00Análisis Estadístico<div class="MsoNormal" style="line-height: normal; margin: 0cm 1.1pt 10pt 0cm; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;">El diseño experimental consiste en provocar cambios en las entradas (<i style="mso-bidi-font-style: normal;">factores</i>) de un proceso para observar los correspondientes cambios en las salidas (<i style="mso-bidi-font-style: normal;">respuestas</i>).</span><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';"> </span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 10pt; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">El proceso es definido como una combinación de máquinas, métodos, personas, ambientes y medidas las cuales son utilizadas para dar un servicio, desarrollar un producto o completar una tarea. Esto es, el diseño experimental es una herramienta científica con la cual obtener los datos para mejorar un proceso y determinar cuáles efectos de entrada son los responsables de los cambios en éste.</span><span style="font-family: 'Arial','sans-serif'; font-size: 12pt;"> </span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.1pt 10pt 0cm; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">En la primera unidad se discutió el método para comparar dos condiciones o tratamientos.<span style="mso-spacerun: yes;"> </span>Esto lo realizamos cuando, por ejemplo, tratamos pruebas de hipótesis para diferencia de medias. En el ejemplo de la tensión del cemento Pórtland, se involucraban dos formulaciones de cemento. Otra manera de describir este experimento es como un experimento de un factor con dos niveles, donde el factor es el tipo de cemento y los dos niveles son las dos formulaciones diferentes. Muchos problemas de este tipo involucran más de dos niveles para cada factor.<span style="mso-spacerun: yes;"> </span>Aquí revisaremos la manera de tratar estadísticamente los datos resultantes de este tipo de problemas.</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.1pt 10pt 0cm; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Históricamente, el uso de una experimentación con un factor a un tiempo con una selección arbitraria o incompleta de un diseño factorial ha resultado en resultados ineficientes e inefectivos para el desarrollo y optimización de procesos y productos. Estos métodos arcaicos no son tolerados en una compañía que intente alcanzar un mercado competitivo.</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.1pt 10pt 0cm; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">El gerente de una empresa puede estar interesado en un diseño experimental para obtener lo siguiente:</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.1pt 10pt 36pt; mso-list: l1 level1 lfo2; tab-stops: list 36.0pt; text-align: justify; text-indent: -18pt; text-justify: inter-ideograph;"><span style="font-family: Symbol; font-size: 12pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;"><img alt="*" height="13" src="file:///C:/DOCUME~1/user/CONFIG~1/Temp/msohtmlclip1/01/clip_image001.gif" width="13" /><span style="font: 7pt 'Times New Roman';"> </span></span></span><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Determinar características de desarrollo de productos</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.1pt 10pt 36pt; mso-list: l1 level1 lfo2; tab-stops: list 36.0pt; text-align: justify; text-indent: -18pt; text-justify: inter-ideograph;"><span style="font-family: Symbol; font-size: 12pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;"><img alt="*" height="13" src="file:///C:/DOCUME~1/user/CONFIG~1/Temp/msohtmlclip1/01/clip_image001.gif" width="13" /><span style="font: 7pt 'Times New Roman';"> </span></span></span><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Reducir costos, y</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.1pt 10pt 36pt; mso-list: l1 level1 lfo2; tab-stops: list 36.0pt; text-align: justify; text-indent: -18pt; text-justify: inter-ideograph;"><span style="font-family: Symbol; font-size: 12pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;"><img alt="*" height="13" src="file:///C:/DOCUME~1/user/CONFIG~1/Temp/msohtmlclip1/01/clip_image001.gif" width="13" /><span style="font: 7pt 'Times New Roman';"> </span></span></span><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Desarrollar productos en un menor <span style="mso-spacerun: yes;"> </span>tiempo.</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.1pt 10pt 0cm; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Desarrollar el experimento resulta en la identificación de factores y niveles que optimicen la respuesta media y minimice la variabilidad en las respuestas. La introducción de este desarrollo nos lleva a la reducción de errores y trabajo innecesario, lo que reduce grandemente los costos. El entender cuáles factores y niveles son los críticos nos lleva a desarrollar rutas para controlar solo los factores importantes, o beneficia en la selección de materiales menos caros. Reducir el tiempo de ventas es acompañado por un entendimiento de que desean los consumidores realmente, y se pueden usar más eficientemente los procedimientos y optimizar el diseño de productos y procesos.</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.1pt 10pt 0cm; text-align: justify; text-justify: inter-ideograph;"><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Antes de iniciar un diseño experimental, es importante seguir los siguientes pasos:</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.1pt 10pt 0cm; text-align: justify; text-justify: inter-ideograph;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.1pt 10pt 36pt; mso-list: l0 level1 lfo1; tab-stops: list 36.0pt; text-align: justify; text-indent: -18pt; text-justify: inter-ideograph;"><span style="font-family: Symbol; font-size: 12pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;"><img alt="*" height="13" src="file:///C:/DOCUME~1/user/CONFIG~1/Temp/msohtmlclip1/01/clip_image001.gif" width="13" /><span style="font: 7pt 'Times New Roman';"> </span></span></span><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Que los empleados estén entrenados en su trabajo</span></div><div class="MsoListParagraph" style="line-height: normal; margin: 0cm 1.1pt 10pt 36pt; mso-add-space: auto; mso-list: l0 level1 lfo1; tab-stops: list 36.0pt; text-align: justify; text-indent: -18pt; text-justify: inter-ideograph;"><span style="font-family: Symbol; font-size: 12pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;"><img alt="*" height="13" src="file:///C:/DOCUME~1/user/CONFIG~1/Temp/msohtmlclip1/01/clip_image001.gif" width="13" /><span style="font: 7pt 'Times New Roman';"> </span></span></span><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Establecer un ambiente favorable de acción.</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.1pt 10pt 36pt; mso-list: l0 level1 lfo1; tab-stops: list 36.0pt; text-align: justify; text-indent: -18pt; text-justify: inter-ideograph;"><span style="font-family: Symbol; font-size: 12pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;"><img alt="*" height="13" src="file:///C:/DOCUME~1/user/CONFIG~1/Temp/msohtmlclip1/01/clip_image001.gif" width="13" /><span style="font: 7pt 'Times New Roman';"> </span></span></span><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Establecer un equipo consistente en personas de diferentes áreas.</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.1pt 10pt 36pt; mso-list: l0 level1 lfo1; tab-stops: list 36.0pt; text-align: justify; text-indent: -18pt; text-justify: inter-ideograph;"><span style="font-family: Symbol; font-size: 12pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;"><img alt="*" height="13" src="file:///C:/DOCUME~1/user/CONFIG~1/Temp/msohtmlclip1/01/clip_image001.gif" width="13" /><span style="font: 7pt 'Times New Roman';"> </span></span></span><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Definir el proceso y establecer la operación de los procedimientos</span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 1.1pt 10pt 36pt; mso-list: l0 level1 lfo1; tab-stops: list 36.0pt; text-align: justify; text-indent: -18pt; text-justify: inter-ideograph;"><span style="font-family: Symbol; font-size: 12pt; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;"><img alt="*" height="13" src="file:///C:/DOCUME~1/user/CONFIG~1/Temp/msohtmlclip1/01/clip_image001.gif" width="13" /><span style="font: 7pt 'Times New Roman';"> </span></span></span><span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'MS Mincho';">Diseñar un diagrama de análisis causa y efecto, y eliminar todas aquellas fuentes de variación innecesarias.</span></div>M.C. Luisa Eugenia Gandarilla Castruitahttp://www.blogger.com/profile/05659695304610780298noreply@blogger.com3tag:blogger.com,1999:blog-3216370924441212864.post-43584610710527665762011-04-08T10:14:00.001-07:002011-04-08T10:14:31.396-07:00M.C. Luisa Eugenia Gandarilla Castruitahttp://www.blogger.com/profile/05659695304610780298noreply@blogger.com0tag:blogger.com,1999:blog-3216370924441212864.post-27349311369195424252011-04-08T10:05:00.000-07:002011-04-08T10:06:19.245-07:00ANALISIS DE DATOS EXPERIMENTALES<div style="text-align: justify;"><span style="color: #b45f06; font-family: Arial, Helvetica, sans-serif; font-size: large;">Este blog fué creado con la intención de proporcionar a los alumnos del ITD de la Carrera de Ingeniería Química información sobre la materia de Análisis de Datos Experimentales de la misma carrera, con fines didácticos y con el propósito de facilitar la comprensión de cada uno de los temas en clase. Bienvenidos al Blog y éxito en todas las acciones que emprendan.</span></div>M.C. Luisa Eugenia Gandarilla Castruitahttp://www.blogger.com/profile/05659695304610780298noreply@blogger.com0tag:blogger.com,1999:blog-3216370924441212864.post-55170892748789928662011-02-20T18:56:00.000-08:002011-02-20T18:56:21.232-08:00TALLER "PRUEBAS DE HIPÓTESIS"<div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX"><span style="font-family: Verdana, sans-serif;">Procedimiento para la realización de pruebas de hipótesis.</span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX">Para este resumen del procedimiento, supongamos que la hipótesis es H<sub>0: </sub></span><span lang="ES-MX" style="font-family: Symbol; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">q</span></span><span lang="ES-MX"> = </span><span lang="ES-MX" style="font-family: Symbol; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">q</span></span><sub><span lang="ES-MX">0</span></sub></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><ol style="margin-top: 0cm;" type="1"><li class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-list: l2 level1 lfo1; tab-stops: list 36.0pt; text-align: justify;"><span lang="ES-MX">Establecer la hipótesis nula H<sub>0: </sub></span><span lang="ES-MX" style="font-family: Symbol; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">q</span></span><span lang="ES-MX"> = </span><span lang="ES-MX" style="font-family: Symbol; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">q</span></span><sub><span lang="ES-MX">0. </span></sub></li>
</ol><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><ol start="2" style="margin-top: 0cm;" type="1"><li class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-list: l2 level1 lfo1; tab-stops: list 36.0pt; text-align: justify;"><span lang="ES-MX">Elegir una hipótesis alternativa apropiada H<sub>A</sub> a partir de una de las alternativas<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span></span><span lang="ES-MX" style="font-family: Symbol; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">q</span></span><span lang="ES-MX"> </span><span lang="ES-MX" style="font-size: 11pt; mso-bidi-font-size: 12.0pt;">></span><span lang="ES-MX"> </span><span lang="ES-MX" style="font-family: Symbol; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">q</span></span><sub><span lang="ES-MX">0 ,<span style="mso-spacerun: yes;"> </span></span></sub><span lang="ES-MX" style="font-family: Symbol; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">q</span></span><span lang="ES-MX"> < </span><span lang="ES-MX" style="font-family: Symbol; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">q</span></span><sub><span lang="ES-MX">0</span></sub><span lang="ES-MX"> , </span><span lang="ES-MX" style="font-family: Symbol; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">q</span></span><span lang="ES-MX"> </span><span lang="ES-MX" style="font-family: Symbol; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">¹</span></span><span lang="ES-MX"> </span><span lang="ES-MX" style="font-family: Symbol; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">q</span></span><sub><span lang="ES-MX">0.</span></sub></li>
</ol><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><ol start="3" style="margin-top: 0cm;" type="1"><li class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-list: l2 level1 lfo1; tab-stops: list 36.0pt; text-align: justify;"><span lang="ES-MX">Elegir un nivel de significancia de tamaño </span><span lang="ES-MX" style="font-family: Symbol; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span><span lang="ES-MX">.</span></li>
</ol><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><ol start="4" style="margin-top: 0cm;" type="1"><li class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-list: l2 level1 lfo1; tab-stops: list 36.0pt; text-align: justify;"><span lang="ES-MX">Seleccionar la estadística de prueba apropiada y establecer la región crítica.<span style="mso-spacerun: yes;"> </span>(Si la decisión se basa en un valor P, no es necesario establecer la región crítica).</span></li>
</ol><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><ol start="5" style="margin-top: 0cm;" type="1"><li class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-list: l2 level1 lfo1; tab-stops: list 36.0pt; text-align: justify;"><span lang="ES-MX">Calcular el valor de la estadística de prueba a partir de los datos de la muestra.</span></li>
</ol><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><ol start="6" style="margin-top: 0cm;" type="1"><li class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-list: l2 level1 lfo1; tab-stops: list 36.0pt; text-align: justify;"><span lang="ES-MX">Decisión: Rechazar H<sub>0</sub> si la estadística de prueba tiene un valor en la región crítica; en cualquier otro caso, no rechazar<span style="mso-spacerun: yes;"> </span>H<sub>0.</sub></span></li>
</ol><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><ol start="7" style="margin-top: 0cm;" type="1"><li class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-list: l2 level1 lfo1; tab-stops: list 36.0pt; text-align: justify;"><span lang="ES-MX">Escribir las conclusiones en base a la decisión tomada en el punto anterior.</span></li>
</ol><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-outline-level: 1; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span lang="ES-MX" style="font-size: 10pt;">Pruebas de Hipótesis.<span style="mso-spacerun: yes;"> </span>Estadística de prueba y criterios de decisión. Pruebas relacionadas con medias.</span></b></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div align="center"><table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; mso-padding-alt: 0cm 3.5pt 0cm 3.5pt;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 59.3pt;" valign="top" width="79"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span lang="ES-MX" style="font-size: 9pt;">Ho</span></b></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 153.2pt;" valign="top" width="204"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><b style="mso-bidi-font-weight: normal;"><span lang="ES-MX" style="font-size: 9pt;">Prueba Estadística</span></b></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span lang="ES-MX" style="font-size: 9pt;">H<sub>A</sub></span></b></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span lang="ES-MX" style="font-size: 9pt;">Región crítica</span></b></div></td></tr>
<tr style="mso-yfti-irow: 1;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 59.3pt;" valign="top" width="79"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ= µ<sub> 0</sub></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 153.2pt;" valign="top" width="204"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span>x- µ<sub> 0</sub></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">z=<span style="mso-spacerun: yes;"> </span>, σ conocida</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span>σ/√n</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ < µ<sub> 0</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ > µ<sub> 0</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ ≠ µ<sub> 0</sub></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">z < -z<sub> α</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">z > z <sub>α</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">z < -z<sub> α/2<span style="mso-spacerun: yes;"> </span></sub>y<sub><span style="mso-spacerun: yes;"> </span></sub>z > z<sub> α/2</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 2;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 59.3pt;" valign="top" width="79"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ= µ<sub> 0</sub></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 153.2pt;" valign="top" width="204"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span>x- µ<sub> 0</sub></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">t=<span style="mso-spacerun: yes;"> </span>, σ desconocida</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span>s/√n<span style="mso-spacerun: yes;"> </span>υ=n-1</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ < µ<sub> 0</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ > µ<sub> 0</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ ≠ µ<sub> 0</sub></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">t < -t<sub> α</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">t<span style="mso-spacerun: yes;"> </span>> t <sub>α</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">t<span style="mso-spacerun: yes;"> </span>< -t<sub> α/2 </sub>y<sub><span style="mso-spacerun: yes;"> </span></sub>t > t<sub> α/2</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 3;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 59.3pt;" valign="top" width="79"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ<sub>1</sub>= µ<sub> 2</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 153.2pt;" valign="top" width="204"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>x<sub>1</sub>- x<sub> 2</sub></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">z=<span style="mso-spacerun: yes;"> </span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span>√ (σ<sub>1</sub>/n<sub>1</sub>)<sub> </sub>+ (σ<sub>2</sub>/n<sub>2</sub>)</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">σ<sub>1</sub> y σ<sub>2</sub> conocidas</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ<sub>1</sub> < µ<sub> 2</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ<sub>1</sub> > µ<sub> 2</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ<sub>1</sub> ≠ µ<sub> 2</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">z < -z<sub> α</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">z > z <sub>α</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">z < -z<sub> α/2 </sub>y<sub><span style="mso-spacerun: yes;"> </span></sub>z > z<sub> α/2</sub></span></div></td></tr>
<tr style="mso-yfti-irow: 4; mso-yfti-lastrow: yes;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 59.3pt;" valign="top" width="79"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ<sub>1</sub>= µ<sub> 2</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 153.2pt;" valign="top" width="204"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="EN-GB" style="font-size: 9pt; mso-ansi-language: EN-GB;"><span style="mso-spacerun: yes;"> </span>x<sub>1</sub>- x<sub> 2</sub></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="EN-GB" style="font-size: 9pt; mso-ansi-language: EN-GB;">t=<span style="mso-spacerun: yes;"> </span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="EN-GB" style="font-size: 9pt; mso-ansi-language: EN-GB;"><span style="mso-spacerun: yes;"> </span>s<sub>p</sub>√ (1/n<sub>1</sub>)<sub> </sub>+ (1/n<sub>2</sub>)</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">υ</span><span lang="EN-GB" style="font-size: 9pt; mso-ansi-language: EN-GB;">=n<sub>1</sub>+ n<sub>2</sub>-2</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">σ<sub>1</sub> = σ<sub>2</sub> pero desconocidas</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span>(n<sub>1</sub>-1) s<sub>1</sub><sup>2</sup> + (n<sub>2</sub>-1) s<sub>2</sub><sup>2</sup><span style="mso-spacerun: yes;"> </span></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">s<sub>p</sub><sup>2</sup>=</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span>n<sub>1</sub>+ n<sub>2</sub>-2<span style="mso-spacerun: yes;"> </span></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ<sub>1</sub> < µ<sub> 2</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ<sub>1</sub> > µ<sub> 2</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">µ<sub>1</sub> ≠ µ<sub> 2</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">t < -t<sub> α</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">t > t <sub>α</sub></span></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">t < -t<sub> α/2 </sub>y<sub><span style="mso-spacerun: yes;"> </span></sub>t > t<sub> α/2</sub></span></div></td></tr>
</tbody></table></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-outline-level: 1; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span lang="ES-MX" style="font-size: 10pt;">Pruebas de Hipótesis.<span style="mso-spacerun: yes;"> </span>Estadística de prueba y criterios de decisión. Pruebas relacionadas con proporciones y varianzas.</span></b></div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-outline-level: 1; text-align: center;"><br />
</div><table border="0" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; mso-padding-alt: 0cm 3.5pt 0cm 3.5pt;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 59.3pt;" valign="top" width="79"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span lang="ES-MX" style="font-size: 9pt;">Ho</span></b></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 153.2pt;" valign="top" width="204"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><b style="mso-bidi-font-weight: normal;"><span lang="ES-MX" style="font-size: 9pt;">Prueba Estadística</span></b></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span lang="ES-MX" style="font-size: 9pt;">H<sub>A</sub></span></b></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><b style="mso-bidi-font-weight: normal;"><span lang="ES-MX" style="font-size: 9pt;">Región crítica</span></b></div></td></tr>
<tr style="mso-yfti-irow: 1;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 59.3pt;" valign="top" width="79"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">p=p<sub>0</sub></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 153.2pt;" valign="top" width="204"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">P=P(X </span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">£</span></span><span lang="ES-MX" style="font-size: 9pt;"> x cuando p=p<sub>0</sub>)</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">p </span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;"><</span></span><span lang="ES-MX" style="font-size: 9pt;"> p<sub>0</sub></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">P </span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">£</span></span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span><span lang="ES-MX" style="font-size: 9pt;"> </span></div></td></tr>
<tr style="mso-yfti-irow: 2;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 59.3pt;" valign="top" width="79"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 153.2pt;" valign="top" width="204"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">P=P(X </span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">³</span></span><span lang="ES-MX" style="font-size: 9pt;"> x cuando p=p<sub>0</sub>)</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">p<span style="mso-spacerun: yes;"> </span></span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">></span></span><span lang="ES-MX" style="font-size: 9pt;">p<sub>0</sub></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">P</span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">£</span></span><span lang="ES-MX" style="font-size: 9pt;"> </span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span><span lang="ES-MX" style="font-size: 9pt;"></span></div></td></tr>
<tr style="mso-yfti-irow: 3;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 59.3pt;" valign="top" width="79"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 153.2pt;" valign="top" width="204"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">P=2P(X </span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">£</span></span><span lang="ES-MX" style="font-size: 9pt;"> x cuando p=p<sub>0</sub>)</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">Si<i style="mso-bidi-font-style: normal;"> x</i> </span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;"><</span></span><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span>np<sub>0</sub></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">o</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">P=2P(X </span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">³</span></span><span lang="ES-MX" style="font-size: 9pt;"> x cuando p=p<sub>0</sub>)</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">Si <i style="mso-bidi-font-style: normal;">x</i> </span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">></span></span><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span>np<sub>0</sub></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">p </span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">¹</span></span><span lang="ES-MX" style="font-size: 9pt;"> p<sub>0</sub></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">P</span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">£</span></span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span><span lang="ES-MX" style="font-size: 9pt;"></span></div></td></tr>
<tr style="mso-yfti-irow: 4;"><td rowspan="3" style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 59.3pt;" valign="top" width="79"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">p=p<sub>0</sub></span></div></td><td rowspan="3" style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 153.2pt;" valign="top" width="204"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span><i style="mso-bidi-font-style: normal;">x</i> - np<sub>0</sub></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">z= </span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><line from="18.95pt,.45pt" id="_x0000_s1026" style="position: absolute; z-index: 1;" to="48.7pt,.45pt"></line><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span></span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ö</span></span><span lang="ES-MX" style="font-size: 9pt;">np<sub>0</sub>q<sub>0</sub></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">p </span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">¹</span></span><span lang="ES-MX" style="font-size: 9pt;"> p<sub>0</sub></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">z<-z </span><sub><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span></sub><sub><span lang="ES-MX" style="font-size: 9pt;">/2</span></sub><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span>y<span style="mso-spacerun: yes;"> </span>z > z</span><sub><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span></sub><sub><span lang="ES-MX" style="font-size: 9pt;">/2</span></sub><span lang="ES-MX" style="font-size: 9pt;"></span></div></td></tr>
<tr style="mso-yfti-irow: 5;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">p </span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;"><</span></span><span lang="ES-MX" style="font-size: 9pt;"> p<sub>0</sub></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">z < -z</span><sub><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span></sub><span lang="ES-MX" style="font-size: 9pt;"></span></div></td></tr>
<tr style="mso-yfti-irow: 6;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">p<span style="mso-spacerun: yes;"> </span></span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">></span></span><span lang="ES-MX" style="font-size: 9pt;">p<sub>0</sub></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">z > z</span><sub><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span></sub><span lang="ES-MX" style="font-size: 9pt;"></span></div></td></tr>
<tr style="mso-yfti-irow: 7;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 59.3pt;" valign="top" width="79"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 153.2pt;" valign="top" width="204"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 8;"><td rowspan="3" style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 59.3pt;" valign="top" width="79"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">p<sub>1</sub>=p<sub>2</sub></span></div></td><td rowspan="3" style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 153.2pt;" valign="top" width="204"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span>p<sub>1<span style="mso-spacerun: yes;"> </span></sub>-<span style="mso-spacerun: yes;"> </span>p<sub>2</sub></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">z= </span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><line from="21.25pt,.75pt" id="_x0000_s1027" style="flip: y; position: absolute; z-index: 2;" to="120.7pt,1.4pt"></line><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span></span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ö</span></span><span lang="ES-MX" style="font-size: 9pt;">pq</span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">[</span></span><span lang="ES-MX" style="font-size: 9pt;">(1/n<sub>1</sub>)+(1/n<sub>2</sub>)</span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">]</span></span><span lang="ES-MX" style="font-size: 9pt;"></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">p<sub>1</sub> </span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">¹</span></span><span lang="ES-MX" style="font-size: 9pt;"> p<sub>2</sub></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">z<-z </span><sub><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span></sub><sub><span lang="ES-MX" style="font-size: 9pt;">/2</span></sub><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span>y<span style="mso-spacerun: yes;"> </span>z > z</span><sub><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span></sub><sub><span lang="ES-MX" style="font-size: 9pt;">/2</span></sub><span lang="ES-MX" style="font-size: 9pt;"></span></div></td></tr>
<tr style="mso-yfti-irow: 9;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">p<sub>1</sub> </span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;"><</span></span><span lang="ES-MX" style="font-size: 9pt;"> p<sub>2</sub></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">z < -z</span><sub><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span></sub><span lang="ES-MX" style="font-size: 9pt;"></span></div></td></tr>
<tr style="mso-yfti-irow: 10;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-size: 9pt;">p<sub>1</sub><span style="mso-spacerun: yes;"> </span></span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">></span></span><span lang="ES-MX" style="font-size: 9pt;">p<sub>2</sub></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;">z > z</span><sub><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span></sub><span lang="ES-MX" style="font-size: 9pt;"></span></div></td></tr>
<tr style="mso-yfti-irow: 11;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 59.3pt;" valign="top" width="79"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 153.2pt;" valign="top" width="204"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 12;"><td rowspan="3" style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 59.3pt;" valign="top" width="79"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">s</span></span><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><span lang="ES-MX" style="font-size: 9pt;">=</span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">s</span></span><sub><span lang="ES-MX" style="font-size: 9pt;">0</span></sub><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><span lang="ES-MX" style="font-size: 9pt;"></span></div></td><td rowspan="3" style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 153.2pt;" valign="top" width="204"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span>(n-1)S<sup>2</sup></span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">c</span></span><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><span lang="ES-MX" style="font-size: 9pt;">=</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-size: 9pt;"><span style="mso-spacerun: yes;"> </span></span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">s</span></span><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><span lang="ES-MX" style="font-size: 9pt;"></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">s</span></span><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">¹</span></span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">s</span></span><sub><span lang="ES-MX" style="font-size: 9pt;">0</span></sub><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><span lang="ES-MX" style="font-size: 9pt;"></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">c</span></span><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><sub><span lang="ES-MX" style="font-size: 9pt;">0</span></sub><span lang="ES-MX" style="font-size: 9pt;"><</span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">c</span></span><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><sub><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span></sub><sub><span lang="ES-MX" style="font-size: 9pt;">/2,n-1</span></sub></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">c</span></span><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><sub><span lang="ES-MX" style="font-size: 9pt;">0</span></sub><span lang="ES-MX" style="font-size: 9pt;">></span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">c</span></span><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><sub><span lang="ES-MX" style="font-size: 9pt;">1-</span></sub><sub><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span></sub><sub><span lang="ES-MX" style="font-size: 9pt;">/2,n-1</span></sub></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 13;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">s</span></span><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><span lang="ES-MX" style="font-size: 9pt;"><</span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">s</span></span><sub><span lang="ES-MX" style="font-size: 9pt;">0</span></sub><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><span lang="ES-MX" style="font-size: 9pt;"></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">c</span></span><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><sub><span lang="ES-MX" style="font-size: 9pt;">0</span></sub><span lang="ES-MX" style="font-size: 9pt;"><</span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">c</span></span><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><sub><span lang="ES-MX" style="font-size: 9pt;">1-</span></sub><sub><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span></sub><sub><span lang="ES-MX" style="font-size: 9pt;">,n-1</span></sub></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 14; mso-yfti-lastrow: yes;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 48.55pt;" valign="top" width="65"><div align="center" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center;"><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">s</span></span><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><span lang="ES-MX" style="font-size: 9pt;">></span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">s</span></span><sub><span lang="ES-MX" style="font-size: 9pt;">0</span></sub><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><span lang="ES-MX" style="font-size: 9pt;"></span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 25.05pt;" valign="top" width="33"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 3.5pt; padding-right: 3.5pt; padding-top: 0cm; width: 162.8pt;" valign="top" width="217"><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">c</span></span><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><sub><span lang="ES-MX" style="font-size: 9pt;">0</span></sub><span lang="ES-MX" style="font-size: 9pt;">></span><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">c</span></span><sup><span lang="ES-MX" style="font-size: 9pt;">2</span></sup><sub><span lang="ES-MX" style="font-family: Symbol; font-size: 9pt; mso-ascii-font-family: 'Times New Roman'; mso-char-type: symbol; mso-hansi-font-family: 'Times New Roman'; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">a</span></span></sub><sub><span lang="ES-MX" style="font-size: 9pt;">,n-1</span></sub></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div></td></tr>
</tbody></table><br />
<div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-family: Arial;">En base al procedimiento para realizar pruebas de hipótesis, y de acuerdo al tipo de prueba de hipótesis que se trate, resuelve los problemas siguientes:</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><ul style="margin-top: 0cm;" type="disc"><li class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-list: l1 level1 lfo2; tab-stops: list 36.0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">De acuerdo con un estudio dietético una ingesta alta de sodio se puede relacionar con úlceras, cáncer de estómago y migraña.<span style="mso-spacerun: yes;"> </span>El requerimiento humano de sal es de sólo 220 miligramos por día, el cual se rebasa en la mayoría de las porciones individuales de cereales listos para comerse.<span style="mso-spacerun: yes;"> </span>Si una muestra aleatoria de 20 porciones similares de Special K tienen un contenido medio de 244 miligramos de sodio y una desviación estándar de 24.5 miligramos, ¿esto sugiere, en un nivel de significancia de 0.05, que el contenido promedio de sodio para porciones individuales de Special K es mayor que 220 miligramos?. Suponga que la distribución de contenidos de sodio es normal.</span></li>
</ul><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><ul style="margin-top: 0cm;" type="disc"><li class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-list: l1 level1 lfo2; tab-stops: list 36.0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">Para encontrar si un nuevo suero detiene la leucemia, se seleccionan nueve ratones, todos con una etapa avanzada de la enfermedad.<span style="mso-spacerun: yes;"> </span>Cinco ratones reciben el tratamiento y cuatro no.<span style="mso-spacerun: yes;"> </span>Los tiempos de sobrevivencia, en años, a partir del momento en que comienza el experimento son los siguientes:</span></li>
</ul><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div align="center"><table border="0" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 480;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">Con tratamiento</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">2.1</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">5.3</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">1.4</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">4.6</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.9</span></div></td></tr>
<tr style="mso-yfti-irow: 1; mso-yfti-lastrow: yes;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">Sin tratamiento</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">1.9</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.5</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">2.8</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">3.1</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div></td></tr>
</tbody></table></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt 36pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">¿Se puede decir en un nivel de significancia del 0.05 que el suero es efectivo? Suponga que las dos distribuciones se distribuyen de forma normal con varianzas iguales.</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><ul style="margin-top: 0cm;" type="disc"><li class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-list: l0 level1 lfo3; tab-stops: list 36.0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">Se sabe que el volumen de los envases de un lubricante particular se distribuye normalmente con una varianza de <metricconverter productid="0.03 litros" w:st="on">0.03 litros</metricconverter>.<span style="mso-spacerun: yes;"> </span>Pruebe la hipótesis de que σ<sup>2</sup>=0.03 contra la alternativa de que σ<sup>2</sup>≠0.03 para una<span style="mso-spacerun: yes;"> </span>muestra aleatoria de 10 envases que se muestra a continuación.<span style="mso-spacerun: yes;"> </span>Use un nivel de significancia de 0.01.</span></li>
</ul><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><table border="0" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 480;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;"><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 48.1pt;" width="64"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">Volumen (lts)</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 39.45pt;" width="53"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">10.2</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 37.75pt;" width="50"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">9.7</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 39.45pt;" width="53"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">10.1</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 39.45pt;" width="53"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">10.3</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 39.45pt;" width="53"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">10.1</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 37.75pt;" width="50"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">9.8</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 37.8pt;" width="50"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">9.9</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 39.5pt;" width="53"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">10.4</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 39.5pt;" width="53"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">10.3</span></div></td><td style="background-color: transparent; border-bottom: #ece9d8; border-left: #ece9d8; border-right: #ece9d8; border-top: #ece9d8; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 37.8pt;" width="50"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">9.8</span></div></td></tr>
</tbody></table><br />
<div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><ul style="margin-top: 0cm;" type="disc"><li class="MsoNormal" style="margin: 0cm 0cm 0pt; mso-list: l0 level1 lfo3; tab-stops: list 36.0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">Se comparan dos tipos de instrumentos para medir la cantidad de monóxido de azufre en la atmósfera en un experimento de contaminación del aire.<span style="mso-spacerun: yes;"> </span>Se desea determinar si los dos tipos de instrumentos dan mediciones que tengan<span style="mso-spacerun: yes;"> </span>la misma variabilidad.<span style="mso-spacerun: yes;"> </span>Se registran las siguientes lecturas para los dos instrumentos:</span></li>
</ul><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div align="center"><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 480;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: windowtext 1pt solid; border-right: windowtext 1pt solid; border-top: windowtext 1pt solid; mso-border-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">Instrumento A</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: windowtext 1pt solid; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.86</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: windowtext 1pt solid; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.82</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: windowtext 1pt solid; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.75</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: windowtext 1pt solid; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.61</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: windowtext 1pt solid; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.89</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: windowtext 1pt solid; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.64</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: windowtext 1pt solid; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.81</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: windowtext 1pt solid; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.68</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: windowtext 1pt solid; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.65</span></div></td></tr>
<tr style="mso-yfti-irow: 1; mso-yfti-lastrow: yes;"><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: windowtext 1pt solid; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">Instrumento B </span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.87</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.74</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.63</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.55</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.76</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.70</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.69</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.57</span></div></td><td style="background-color: transparent; border-bottom: windowtext 1pt solid; border-left: #ece9d8; border-right: windowtext 1pt solid; border-top: #ece9d8; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm;"><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">0.53</span></div></td></tr>
</tbody></table></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt 36pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">Suponga que las poblaciones de mediciones se distribuyen de forma aproximadamente normal, pruebe la hipótesis de que σ<sup>2</sup><sub>A</sub>= σ<sup>2</sup><sub>B </sub><span style="mso-spacerun: yes;"> </span>contra la alternativa de que <sup><span style="mso-spacerun: yes;"> </span></sup>σ<sup>2</sup><sub>A </sub>≠ σ<sup>2</sup><sub>B</sub><sup> </sup>utilizando un nivel de significancia de 0.05.</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><span lang="ES-MX" style="font-family: Arial;">Criterios de evaluación:</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">La solución a los problemas se realizará en equipos de tres personas, y la respuesta deberá de contener los siete puntos definidos en el procedimiento de pruebas de hipótesis, reportados en orden y con claridad.</span></div><div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">Se deberá de entregar un producto por equipo, en limpio, sin borrones o tachaduras, conteniendo los nombres y números de control de los integrantes, así como la fecha de elaboración.</span></div><div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">Los aspectos<span style="mso-spacerun: yes;"> </span>1, 2, 4, 5 y 6 del procedimiento tendrán un valor de 15 puntos.<span style="mso-spacerun: yes;"> </span>El aspecto 3, 5 puntos; el aspecto 7 tendrá un valor de 20 puntos, sumando en total 100 puntos.</span></div><div class="MsoNormal" style="line-height: 150%; margin: 0cm 0cm 0pt; text-align: justify;"><span lang="ES-MX" style="font-family: Arial;">La puntuación obtenida en la solución de los problemas tendrá un valor del<span style="mso-spacerun: yes;"> </span>40% de la calificación <span style="mso-spacerun: yes;"> </span>de la unidad.</span></div><div class="MsoNormal" style="margin: 0cm 0cm 0pt;"><br />
</div>M.C. Luisa Eugenia Gandarilla Castruitahttp://www.blogger.com/profile/05659695304610780298noreply@blogger.com0