The sodium content of 30 packages of 300 grams of corn flakes of a certain brand was examined. The data in milligrams: the mean is 129.753 and s = 0.929: (a) Can the assertion that the sodium content of this brand of cereal is different from 130 mg be supported? Use = 0.5, find the p-value. b) Calculate the power of the test if the true average sodium is 130.5 mg. c) What sample size would be required to detect a true average sodium content of 130.1 if we want the power to be at least 0.75?   Note: The exercise in the image is in Spanish, which is the original, to make it easier to understand.

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The sodium content of 30 packages of 300 grams of corn flakes of a certain brand was examined. The data in milligrams: the mean is 129.753 and s = 0.929:

(a) Can the assertion that the sodium content of this brand of cereal is different from 130 mg be supported? Use = 0.5, find the p-value.

b) Calculate the power of the test if the true average sodium is 130.5 mg.

c) What sample size would be required to detect a true average sodium content of 130.1 if we want the power to be at least 0.75?

 

Note:
The exercise in the image is in Spanish, which is the original, to make it easier to understand.

4.- Se examinó el contenido de sodio de 30 paquetes de 300 de gramos de hojuelas de maíz de
cierta marca. Los datos en miligramos: la media es de 129.753 y s 0.929:
a) ¿Se puede sustentar la aseveración de que el contenido de sodio de esta marca de cereal
es diferente de 130 mg? Use a 0.05, encuentre el valor p.
b) Calcule la potencia de la prueba si el promedio verdadero de sodio es de 130.5 mg
c) ¿Qué tamaño de muestra sería requerido para detectar un promedio verdadero del
contenido de sodio de 130.1 si queremos que la potencia sea al menos 0.75?
Transcribed Image Text:4.- Se examinó el contenido de sodio de 30 paquetes de 300 de gramos de hojuelas de maíz de cierta marca. Los datos en miligramos: la media es de 129.753 y s 0.929: a) ¿Se puede sustentar la aseveración de que el contenido de sodio de esta marca de cereal es diferente de 130 mg? Use a 0.05, encuentre el valor p. b) Calcule la potencia de la prueba si el promedio verdadero de sodio es de 130.5 mg c) ¿Qué tamaño de muestra sería requerido para detectar un promedio verdadero del contenido de sodio de 130.1 si queremos que la potencia sea al menos 0.75?
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