A certain vehicle emission inspection station advertises that the wait time for

Question

A certain vehicle emission inspection station advertises that the wait time for customers is less than 10 minutes. A local resident is skeptical and collects a random sample of 64 wait times for customers at the testing station. She finds that the sample mean is 8.31 minutes, with a standard deviation of 3.9 minutes. Does the sample evidence support the resident's skepticism? Use the a = 0.005 level of significance to test the advertised claim. What are the correct hypotheses for this test? What is the value of the test statistic? What is the P-value?

Explanation / Answer

Ho : miu = 10

Ha : miu < 10

t = ( 8.31 - 10 ) / ( 3.9 / srqt 64 )

t = -3.47

p value : 0.00026

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