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 delos contenidos excede 1.15 decilitros. Si una muestra aleatoria de 25 bebidas de esta máquina tieneuna varianza de 2.03 decilitros, ¿esto indica con un nivel de significancia de 0.05 que la máquinaestá fuera de control? Suponga que los contenidos se distribuyen de forma aproximadamentenormal.

Answered: A soft drink dispensing machine is said…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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