A hard Drive manufacturers is required to ensure that the meantime between failures for its new hard drive is 1 million hours. Astress test is designed that can simulate the workload at a muchfaster rate. The test is designed so that a test lasting 10 days isequivalent to the hard drive lasting 1 million hours. In stresstests of 15 hard drives, the average is 9.5 days with a standarddeviation of 1 day. Can the manufacturer conclude that it meets therequirement?

a.) Identify and define the population parameter.

b.) Set up the hypotheses to be tested by the manufacturer.

c.) Calculate the test statistic for the hypothesis in partb.

d.) What distribution does the test statistic in part cfollow?

e.) Calculate the p-value associated with the test statistic inpart c.

f.) Based on these results explain if its reasonable for themanufacturer to claim that it meets the requirement.