RES341_S5_E_Intervalos_Confianza.pps

Α 2 α 2 x z x z n n los valores de z α2 asociados

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, α / 2 α / 2 X Z X Z n n
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Los valores de Z α/2 asociados a cada grado de confianza se muestran en la siguiente tabla.
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Ejemplo Una empresa empaca azúcar refinada en bolsas. El peso del contenido de éstas sigue una distribución normal con una desviación estándar de 12 gramos. Se toma una muestra aleatoria de 25 bolsas obteniendo un peso medio de 198 gramos. Determina el intervalo de confianza para el verdadero peso medio de todas las bolsas producidas mediante este proceso. , α / 2 α / 2 X Z X Z n n
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Ejemplo Como se pide un intervalo de confianza de 99%, de la tabla se usa Z α/2 = 2.58 Del enunciado del problema se tiene que µ=198, σ=12 y n = 25. El intervalo de confianza está dado por: Esto significa que el peso medio de todas las bolsas producidas por este método está entre 191.8 y 204.2 gramos. , 12 12 198 2.58 ,198 2.58 25 25 191.8,204.2 α / 2 α / 2 X Z X Z n n
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Referencias Levin R. y Rubin D. (2010). Estadística para administración y economía . (7a. ed.) México: Pearson. (Disponible en la Biblioteca Virtual ULA, colección Pearson).
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