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An electronics manufacturing process has historically had a mean completion time of 70 minutes. It is claimed that, due to improvements in the process, the
An electronics manufacturing process has historically had a mean completion time of 70 minutes. It is claimed that, due to improvements in the process, the mean completion time, J, is now less than 70 minutes. A random sample of 19 completion times using the new process is taken. The sample has a mean completion time of 68 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 70 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 H, and the alternative hypothesis H. H O P H : D X S P H :0 (b) Determine the type of test statistic to use. (Choose one) 0=0 030 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 040 00 X 5 (d) Find the p-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 70 minutes? OYes ONo
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