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An automobile assembly line operation has a scheduled mean completion time, u, of 13 minutes. The standard deviation of completion times is 1.3 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 22 completion times under new management was taken. The sample had a mean of 12.5 minutes. Assume that the population is normally distributed. Can we support, at the 0.1 level of 5_ignicance, the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times has not changed. Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.) The null hypothiis: H0 : I] H O p Y s 6 The alternative mm: H1 : I] El El III DD E = The type of test statistic: (Choose one) D B [La [La D7113 E|E| The value of the test statistic: (Round to at least three [I decimal places.) X S Q The pvalue: (Round to at least three E] decimal places.) The p-value: (Round to at least three I] decimal places.) Can we support the claim that the mean completion time has decreased under new management