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

ID: 3158264 • Letter: A

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 49 wait tines for customers at the testing station. She finds that the sample mean is 8.33 minutes, with a standard deviation of 3.7 minutes Does the sample evidencee support the resident's skepticism? Use the alpha = 0.10 level of significance to test the advertised claim. What is the value of the test statistic? What is the P-value? Use the alpha = 0.10 level of significance to test the advertised claim. Since the P value is than alpha, the null hypothesis. There sufficient evidencee to conclude that the mean wait time is less than 10 minutes. In other words, the evidencee the resident's skepticism

Explanation / Answer

z = 8.33 - 10 / ( 3.7 / srqt 49 )

Z = -3.16

p value : 0.00079

since p value is lower than alpha we reject Ho

there is sufficent evidence to conclude that mean wait is less than 10 minutes

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