statistics 18

An electronics manufacturing process has a scheduled mean completion time of 65 minutes. It is claimed that, under new management, the mean completion time, j, is less than 65 minutes. To test this claim, a random sample of 14 completion times under new management was taken. The sample had a mean completion time of 62 minutes and a standard deviation of 8 minutes. Assume that the population of completion times under new management is normally distributed. At the 0.05 level of significance, can it be concluded that the mean completion time, j, under new management is less than the scheduled mean? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H1. O P Ho : X S p H :0 (b) Determine the type of test statistic to use. (Choose one) 0-0 050 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) x0 00 0 X 5 2 (d) Find the critical value. (Round to three or more decimal places.) (e) At the 0.05 level, can it be concluded that the mean completion time under new management is less than the scheduled mean? OYes ONo