An electronics manufacturing process has historically had a mean completion time of 65 minutes. It is claimed that, due
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An electronics manufacturing process has historically had a mean completion time of 65 minutes. It is claimed that, due
An electronics manufacturing process has historically had a mean completion time of 65 minutes. It is claimed that, due to improvements in the process, the mean completion time, p, is now less than 65 minutes. A random sample of 13 completion times using the new process is taken. The sample has a mean completion time of 63 minutes, with a standard deviation of 9 minutes. Assume that completion times using the new process are approximately normally distributed. At the 0.05 level of significance, can it be concluded that the population mean completion time using the new process is less than 65 minutes? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) state the null hypothesis Ho and the alternative hypothesis H1. u a р H. : 4 = 65 X S H, :μ < 65 -- O. 8 (b) Determine the type of test statistic to use. Z D=0 OSO D20 (c) Find the value of the test statistic. (Round to three or more decimal places.) DO O<O D> Х $ ? (d) Find the critical value. (Round to three or more decimal places.) (e) Can it be concluded that the mean completion time using the new process is less than 65 minutes? Yes No
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