A battery manufacturer claims that the lifetime of a certain type of battery has a populationmean of 40 hours and a standard deviation of 5 hours. Let Y represent the mean lifetime ofthe batteries in a simple random sample of size 100.If the claim is true, what is P(X < 36.7)?a.b.Based on the answer to part (a), if the claim is true, is a sample mean lifetime of 36.7hours unusually short?If the sample mean lifetime of the 100 batteries were 36.7 hours, would you find themanufacturer's claim to be plausible? Explain.c.d.If the claim is true, what is P(X < 39.8)?Based on the answer to part (d), if the claim is true, is a sample mean lifetime of 39.8hours unusually short?e.If the sample mean lifetime of the 100 batteries were 39.8 hours, would you find themanufacturer's claim to be plausible? Explain.f.

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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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