Answered: A manufacturer claims that the mean…

Name: A manufacturer claims that the mean lifetime, μ, of its light bulbs is
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Description: A manufacturer claims that the mean lifetime, μ, of its light bulbs is 54 months. The standard deviation of these lifetimes is 9 months. Seventy bulbs are selected at random, and their mean lifetime is found to be 52 months. Can we conclude, at the 0

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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A manufacturer claims that the mean lifetime, μ, of its light bulbs is 54 months. The standard deviation of these lifetimes is 9 months. Seventy bulbs are selected at random, and their mean lifetime is found to be 52 months. Can we conclude, at the 0.01 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 54 months?

State the null hypothesis H0 and the alternative hypothesis H1

Find the value using the z test

find two critical values

Can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 54 months? Yes or no?

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