A large car company states that a brake system will function properly for 5.1 years with a standard deviation of 0.9 years before needing maintenance. To test whether the brakes actually wear out sooner, an independent research facility took a random sample of 40 cars made by that manufacturer and found the average time the brake system functioned before needing maintenance to be 4.1 years. State the appropriate null and alternative hypotheses. Ho: H₂: At a = 0.01, what is the correct conclusion for the hypothesis test?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A large car company states that a brake system will function properly for 5.1 years with a standard
deviation of 0.9 years before needing maintenance. To test whether the brakes actually wear out
sooner, an independent research facility took a random sample of 40 cars made by that
manufacturer and found the average time the brake system functioned before needing
maintenance to be 4.1 years.
State the appropriate null and alternative hypotheses.
Ho:
H₂:
At a = 0.01, what is the correct conclusion for the hypothesis test?
Transcribed Image Text:A large car company states that a brake system will function properly for 5.1 years with a standard deviation of 0.9 years before needing maintenance. To test whether the brakes actually wear out sooner, an independent research facility took a random sample of 40 cars made by that manufacturer and found the average time the brake system functioned before needing maintenance to be 4.1 years. State the appropriate null and alternative hypotheses. Ho: H₂: At a = 0.01, what is the correct conclusion for the hypothesis test?
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