A local automotive service center claims it can change the oil in your car in 30 minutes or less. A random sample of their customers produces a sample size of 10, with sample mean 31 minutes and sample standard deviation 1.25 minutes. Suppose that mu is the true mean time for an oil change at this service center. We want to test if the true mean is greater than 30 minutes. Use significance level 0.05.

Question A: What are the null and alternative hypotheses?

Question B: What is the standardized value of the test statistic?

Question C: Complete this sentence: At significance level 0.05, we reject H0 if ________.

Question D: Do we reject the null hypothesis?

Question E: Based on this hypothesis test, do we conclude the mean time for an oil change is greater than 30 minutes?

Question F: Should the p-value for this test be greater than or less than the significance level?