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Metodos Estadisticos II (Hector Medina Disla)

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Si un estimador es insesgado también es eficiente. <!-- /* Font Definitions */ @font-face {font-family:"Cambria Math"; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face {font-family:"Bookman Old Style"; panose-1:2 5 6 4 5 5 5 2 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:647 0 0 0 159 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman",serif; mso-fareast-font-family:"Times New Roman"; mso-ansi-language:ES; mso-fareast-language:ES;}.MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:10.0pt; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt;}@page WordSection1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:36.0pt; mso-footer-margin:36.0pt; mso-paper-source:0;}div.WordSection1 {page:WordSection1;}--><!-- /* Font Definitions */ @font-face {font-family:"Cambria Math"; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face {font-family:"Bookman Old Style"; panose-1:2 5 6 4 5 5 5 2 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:647 0 0 0 159 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman",serif; mso-fareast-font-family:"Times New Roman"; mso-ansi-language:ES; mso-fareast-language:ES;}.MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:10.0pt; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt;}@page WordSection1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:36.0pt; mso-footer-margin:36.0pt; mso-paper-source:0;}div.WordSection1 {page:WordSection1;}-->
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El Gerente de venta analiza las ventas de un grupo de 36 vendedores y encuentra que las ventas mensuales tienen una media de $8.0 y desviación estándar de $3.0. ¿Cuál es el límite inferior del intervalo de confianza del 99% para las ventas promedio de los vendedores?
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En una muestra de 300 personas, 176 dijeron que estaban de acuerdo con una nueva Ley. ¿El porcentaje de personas que está deacuerdo con la nueva Ley es?

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En una muestra de 730 alumnos del nivel medio 540 de ellos aprobaron el curso completo. ¿Cuál es el error estándar del porcentaje de alumnos que aprueban el curso completo? (Para el cáculo, utilice dos cifras después del punto decimal. Por ejemplo, 0.1234 se toma como 0.12; 0.1259 se toma como 0.13, etc.).

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Un estimador es insesgado si en la medida que se aumenta el tamaño de la muestra disminuye la diferencia entre el estimador y el parámetro. <!-- /* Font Definitions */ @font-face {font-family:"Cambria Math"; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face {font-family:"Bookman Old Style"; panose-1:2 5 6 4 5 5 5 2 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:647 0 0 0 159 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman",serif; mso-fareast-font-family:"Times New Roman"; mso-ansi-language:ES; mso-fareast-language:ES;}.MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:10.0pt; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt;}@page WordSection1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:36.0pt; mso-footer-margin:36.0pt; mso-paper-source:0;}div.WordSection1 {page:WordSection1;}--><!-- /* Font Definitions */ @font-face {font-family:"Cambria Math"; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face {font-family:"Bookman Old Style"; panose-1:2 5 6 4 5 5 5 2 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:647 0 0 0 159 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman",serif; mso-fareast-font-family:"Times New Roman"; mso-ansi-language:ES; mso-fareast-language:ES;}.MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:10.0pt; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt;}@page WordSection1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:36.0pt; mso-footer-margin:36.0pt; mso-paper-source:0;}div.WordSection1 {page:WordSection1;}-->
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Si en una muestra de 400 hogares el intervalo de confianza del 95% para gasto promedio del hogar es: P[7.5 <= &amp;amp;amp;amp;lt;!-- /* Font Definitions */ @font-face {font-family:&amp;amp;amp;amp;quot;Cambria Math&amp;amp;amp;amp;quot;; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:-536870145 1107305727 0 0 415 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:&amp;amp;amp;amp;quot;&amp;amp;amp;amp;quot;; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:&amp;amp;amp;amp;quot;Times New Roman&amp;amp;amp;amp;quot;,serif; mso-fareast-font-family:&amp;amp;amp;amp;quot;Times New Roman&amp;amp;amp;amp;quot;;} .MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-family:&amp;amp;amp;amp;quot;Calibri&amp;amp;amp;amp;quot;,sans-serif; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:&amp;amp;amp;amp;quot;Times New Roman&amp;amp;amp;amp;quot;; mso-bidi-theme-font:minor-bidi; mso-ansi-language:ES-TRAD; mso-fareast-language:EN-US;} @page WordSection1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:36.0pt; mso-footer-margin:36.0pt; mso-paper-source:0;} div.WordSection1 {page:WordSection1;} --&amp;amp;amp;amp;gt; µx <= 12.0] = 0.95. ¿Cuál de las siguientes expresiones es más apropiada para la interpretación de este resultado?

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Manteniendo los demás elementos constantes, en una estimación por intervalo, si se aumenta el nivel de confianza, aumenta amplitud del intervalo. &amp;lt;!-- /* Font Definitions */ @font-face {font-family:&amp;quot;Cambria Math&amp;quot;; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face {font-family:&amp;quot;Bookman Old Style&amp;quot;; panose-1:2 5 6 4 5 5 5 2 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:647 0 0 0 159 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:&amp;quot;&amp;quot;; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:&amp;quot;Times New Roman&amp;quot;,serif; mso-fareast-font-family:&amp;quot;Times New Roman&amp;quot;; mso-ansi-language:ES; mso-fareast-language:ES;}.MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:10.0pt; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt;}@page WordSection1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:36.0pt; mso-footer-margin:36.0pt; mso-paper-source:0;}div.WordSection1 {page:WordSection1;}--&amp;gt;&amp;amp;amp;amp;lt;!-- /* Font Definitions */ @font-face {font-family:&amp;amp;amp;amp;quot;Cambria Math&amp;amp;amp;amp;quot;; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face {font-family:&amp;amp;amp;amp;quot;Bookman Old Style&amp;amp;amp;amp;quot;; panose-1:2 5 6 4 5 5 5 2 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:647 0 0 0 159 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:&amp;amp;amp;amp;quot;&amp;amp;amp;amp;quot;; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:&amp;amp;amp;amp;quot;Times New Roman&amp;amp;amp;amp;quot;,serif; mso-fareast-font-family:&amp;amp;amp;amp;quot;Times New Roman&amp;amp;amp;amp;quot;; mso-ansi-language:ES; mso-fareast-language:ES;}.MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:10.0pt; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt;}@page WordSection1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:36.0pt; mso-footer-margin:36.0pt; mso-paper-source:0;}div.WordSection1 {page:WordSection1;}--&amp;amp;amp;amp;gt;&amp;amp;amp;amp;amp;lt;!-- /* Font Definitions */ @font-face {font-family:&amp;amp;amp;amp;amp;quot;Cambria Math&amp;amp;amp;amp;amp;quot;; panose-1:2 4 5 3 5 4 6 3 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:-536870145 1107305727 0 0 415 0;}@font-face {font-family:&amp;amp;amp;amp;amp;quot;Bookman Old Style&amp;amp;amp;amp;amp;quot;; panose-1:2 5 6 4 5 5 5 2 2 4; mso-font-charset:0; mso-generic-font-family:roman; mso-font-pitch:variable; mso-font-signature:647 0 0 0 159 0;} /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-unhide:no; mso-style-qformat:yes; mso-style-parent:&amp;amp;amp;amp;amp;quot;&amp;amp;amp;amp;amp;quot;; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:&amp;amp;amp;amp;amp;quot;Times New Roman&amp;amp;amp;amp;amp;quot;,serif; mso-fareast-font-family:&amp;amp;amp;amp;amp;quot;Times New Roman&amp;amp;amp;amp;amp;quot;; mso-ansi-language:ES; mso-fareast-language:ES;}.MsoChpDefault {mso-style-type:export-only; mso-default-props:yes; font-size:10.0pt; mso-ansi-font-size:10.0pt; mso-bidi-font-size:10.0pt;}@page WordSection1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:36.0pt; mso-footer-margin:36.0pt; mso-paper-source:0;}div.WordSection1 {page:WordSection1;}--&amp;amp;amp;amp;amp;gt;
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En una muestra de 730 alumnos del nivel medio 540 de ellos aprobaron el curso completo. ¿Cuál es el límite superior del intervalo de confianza del 90% para el porcentaje de alumnos que aprueba el curso completo? (Para el cáculo utilice dos cifras después del punto decimal. Por ejemplo, 0.1234 se toma como 0.12; 0.1259 se toma como 0.13; etc.).
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En una muestra de 675 adolescentes 135 de ellos indicaron que iniciaron su relación sexual antes de los 15 años. ¿Cuál es el error estándar del porcentaje de jóvenes de que inician su relación sexual antes de los 15 años? (Para el cáculo, utilice dos cifras después del punto decimal. Por ejemplo, 0.1234 se toma como 0.12; 0.1259 se toma como 0.13, etc.).
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Se les preguntó a un grupo de personas sobre si habían comprado durante la promoción de Black Friday o viernes negro. De una muestra de 1,196 personas, 478 dijeron que habían comprado en dicha promoción. ¿Cuál es el valor de la estimación puntual del porcentaje de personas que compra en la promoción de Black Friday o viernes negro? (Para el cáculo final, utilice dos cifras después del punto decimal. Por ejemplo, 0.1234 se toma como 0.12; 0.1259 se toma como 0.13, etc.).
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