A manufacturer of electric batteries claims that the average capacity of a certain type of battery that the company produces is at least 140 ampere-hours with a standard deviation of 2.66 ampere-hours. An independent sample of 20 batteries gave a mean of 138.47 ampere-hours. Test at 5 percent significance level the null hypothesis that the mean life is 140 ampere-hours against alternative that it is lower. Can the manufacturer's claim be sustained on the basis of this sample?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A manufacturer of electric batteries claims that the average capacity of a certain type of
battery that the company produces is at least 140 ampere-hours with a standard deviation of 2.66
ampere-hours. An independent sample of 20 batteries gave a mean of 138.47 ampere-hours. Test at 5
percent significance level the null hypothesis that the mean life is 140 ampere-hours against alternative
that it is lower. Can the manufacturer's claim be sustained on the basis of this sample?
Transcribed Image Text:A manufacturer of electric batteries claims that the average capacity of a certain type of battery that the company produces is at least 140 ampere-hours with a standard deviation of 2.66 ampere-hours. An independent sample of 20 batteries gave a mean of 138.47 ampere-hours. Test at 5 percent significance level the null hypothesis that the mean life is 140 ampere-hours against alternative that it is lower. Can the manufacturer's claim be sustained on the basis of this sample?
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