anufacturer claims that the mean lifetime, μ, of its light bulbs is 54 months. The standard deviation of these lifetimes is 6 months. Forty-six bulbs are selected at random, and their mean lifetime is found to be 55 months. Assume that the population is normally distributed. 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
anufacturer claims that the mean lifetime, μ, of its light bulbs is 54 months. The standard deviation of these lifetimes is 6 months. Forty-six bulbs are selected at random, and their mean lifetime is found to be 55 months. Assume that the population is normally distributed. 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
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 6 months. Forty-six bulbs are selected at random, and their mean lifetime is found to be 55 months. Assume that the population is
State the null hypothesis
H0
H1
|
Find the z test
Find the p-value
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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