1. A coffee shop uses a machine that is supposed to pour 8 oz of water for a small drink. The store manager is interested in the variability of the amount of water poured, as too much water will make the cup overflow and too little will underfill the cup and make customers feel cheated. From prior knowledge, the amount of water appears to be normally distributed. The machine usually has a variance of 0.4 oz, but the manager has reason to suspect the machine is malfunctioning. A random sample of 26 cups gives a variance of .36 oz. At the 0.1 significance level, determine whether the manager has evidence that the machine is malfunctioning (i.e. the variance is not 0.4)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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1.
A coffee shop uses a machine that is supposed to pour 8 oz of water for a small
drink. The store manager is interested in the variability of the amount of water poured, as too
much water will make the cup overflow and too little will underfill the cup and make customers
feel cheated. From prior knowledge, the amount of water appears to be normally distributed.
The machine usually has a variance of 0.4 oz, but the manager has reason to suspect the machine
is malfunctioning. A random sample of 26 cups gives a variance of .36 oz. At the 0.1
significance level, determine whether the manager has evidence that the machine is
malfunctioning (i.e. the variance is not 0.4)
Transcribed Image Text:1. A coffee shop uses a machine that is supposed to pour 8 oz of water for a small drink. The store manager is interested in the variability of the amount of water poured, as too much water will make the cup overflow and too little will underfill the cup and make customers feel cheated. From prior knowledge, the amount of water appears to be normally distributed. The machine usually has a variance of 0.4 oz, but the manager has reason to suspect the machine is malfunctioning. A random sample of 26 cups gives a variance of .36 oz. At the 0.1 significance level, determine whether the manager has evidence that the machine is malfunctioning (i.e. the variance is not 0.4)
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