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14. A tire manufacturer claims that their tires have a mean lifetime equal to 75,000 miles (assuming regular rotations of the tires are performed). A sample of 36 of their tires are randomly selected and tested. They have a mean lifetime 73,125 miles with a standard deviation of 4,800 miles. Use the p-value method of hypothesis testing to test the company’s claim at the 2% significance level.
Claim: μ = 75,000
Ho: μ = 75,000, Ha: μ ≠ 75,000
test stat: Z = -2.34, P-value = 0.0192
The sample data allows rejection of the claim...