Answered: A local juice manufacturer distributes…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A local juice manufacturer distributes juice in bottles labeled 32 ounces. A government agency thinks that the company is cheating its customers. The agency selects 35 of these bottles, measures their contents, and obtains a sample mean of 31.7 ounces with a standard deviation of 0.70 ounce. Use a 5% significance level to test the agency's claim that the company is cheating its customers.

The appropriate null hypothesis for this situation is:

H0: = 31.7H0: μ = 32 H0: = 32H0: μ = 31.7

The appropriate alternative hypothesis for this situation is:

Ha: < 32Ha: > 31.7 Ha: < 31.7Ha: > 32Ha: μ > 32Ha: μ < 31.7Ha: μ > 31.7Ha: μ < 32

The value of the statistic for this test is =   (round answers to three places after the decimal.)

and the p-value is   (round answers to three places after the decimal.)

There     enough statistical evidence, at the 5% level, that the company is cheating its customers.

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