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Estadistica Industrial II (Hector Medina Disla)

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El peso de ciertas joyas de diamante puede considerarse una variable aleatoria distribuida uniformemente con una medida que va entre 1.05 y 1.55 quilates. ¿Cuál es el valor esperado del peso de las joyas de diamente producida por la empresa?
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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 límite inferior del intervalo de confianza del 99% para el 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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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 superior del intervalo de confianza del 99% para las ventas promedio de los vendedores?
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Se va a realizar un estudio para conocer el porcentaje de los hogares residentes en las comunidades de impacto de un progama de educación radial, que han escuchado por lo menos uno de los programas educativos transmitidos por las emisoras de radio del programa. Los estudios de monitoreo y seguimiento del año pasado indican que el 63% de los hogares ha escuchado por lo menos un programa de los transmitidos por las estaciones radiales. Si se desea una estimación del porcentaje con un nivel de confianza de 95% y un margen de error de ± 4.0%; ¿Que tamaño debe tener la muestra? <!-- /* 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; mso-bidi-font-size:10.0pt; font-family:"Times New Roman",serif; mso-fareast-font-family:"Times New Roman"; mso-font-kerning:14.0pt; mso-fareast-language:EN-US; mso-bidi-font-weight:bold;}.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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Las ventas de una empresa puede considerarse un variable aleatoria que sigue una distribución normal con un promedio de 400$ y desviación estándar de 40$. ¿Cuál es el valor de las ventas por encima del cual se encuentra el 10% superior de las ventas?
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Para una variable aleatoria que sigue una distribución normal estántar con media cero, (0) y desviación estándar uno, (1). ¿Cuál es el valor del área de la cuarva que se encuentra entre de Z1=1.10 y Z2= 2.27?
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El tiempo que tardan los cursos de capacitación de una empresa, puede considerarse una variable aleatoria uniforme con un tiempo de entre 32 y 56 horas. A usted lo llaman para impartir un curso en esta empresa. Responder las siguientes pregunta:

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En el muestreo probabilístico todos los elementos de la población tienen la misma probabilidad de ser incluido en la muestra. <!-- /* 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;} /* 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";}.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; mso-ansi-language:ES; mso-fareast-language:ES;}@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;} /* 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";}.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; mso-ansi-language:ES; mso-fareast-language:ES;}@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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Se selecciona una muestra de 50 pernos gruesos para fines de control de calidad. El peso promedio de dichos pernos es de 30 onzas y una varianza de 64 oz2. ¿Cuál es el límite inferior del intervalo de confianza del 90% para el peso promedio de los pernos? (Use dos cifras decimales).

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Para el siguiente conjunto de datos que muestra el número de asignaturas cursadas por ocho alumnos del curso de Estadística: 4, 5, 3, 4, 3, 4, 7, 2; el promedio de asignaturas cursadas es igual a 4.<!-- /* 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;}--><!-- /* 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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