A soft drink dispensing machine is said to be out of control if the variance of the contents exceeds 1.15 deciliters. If a random sample of 25 drinks from this machine has a variance of 2.03 deciliters, does this indicate at a significance level of 0.05 that the machine is out of control? Assume that the contents are approximately normally distributed. Note: The exercise in the image is in Spanish, to make the exercise more understandable.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A soft drink dispensing machine is said to be out of control if the variance of the contents exceeds 1.15 deciliters. If a random sample of 25 drinks from this machine has a variance of 2.03 deciliters, does this indicate at a significance level of 0.05 that the machine is out of control? Assume that the contents are approximately normally distributed.


Note:
The exercise in the image is in Spanish, to make the exercise more understandable.

5. Se dice que una máquina despachadora de bebida gaseosa está fuera de control si la varianza de
los contenidos excede 1.15 decilitros. Si una muestra aleatoria de 25 bebidas de esta máquina tiene
una varianza de 2.03 decilitros, ¿esto indica con un nivel de significancia de 0.05 que la máquina
está fuera de control? Suponga que los contenidos se distribuyen de forma aproximadamente
normal.
Transcribed Image Text:5. Se dice que una máquina despachadora de bebida gaseosa está fuera de control si la varianza de los contenidos excede 1.15 decilitros. Si una muestra aleatoria de 25 bebidas de esta máquina tiene una varianza de 2.03 decilitros, ¿esto indica con un nivel de significancia de 0.05 que la máquina está fuera de control? Suponga que los contenidos se distribuyen de forma aproximadamente normal.
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