Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 13.2 minutes. The standard deviation of completion times was 1.7 minutes. An analyst at the company suspects that, under new management, the mean completion time, p, is now less than 13.2 minutes. To test this claim, a random sample of 15 completion times under new management was taken by the analyst. The sample had a mean of 12.8 minutes. Assume that the population is normally distributed. Can we support, at the 0.01 level of significance, the claim that the population mean completion time under new management is less than 13.2 minutes? Assume that the population standard deviation of completion times has not changed under new management. Perform a onetailed test. Then complete the parts below. Cany your intermediate computations to three or more decimal places, and round your responses as specied below. (If necessary, consult a list of formulas.) a _ _ _ ( 1 State the null hypotheSIs H0 and the alternative hypotheSIs H1. I4 G p H : 0 i s 3 H1 : El [In Ell: E (b) Determine the type of test statistic to use