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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
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, it, is now less than 65 minutes. A random sample of 19 completion times using the new process is taken. The sample has a mean completion time of 64 minutes, with a standard deviation of 11 minutes. Assume that completion times using the new process are approximately normally distributed. At the 0.05 level of signicance, 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 H0 and the alternative hypothesis H]. H O P H0:|:| i S 3 H1:|:| ..D H... E (b) Determine the type of test statistic to use. (c) Find the 1value cf the test statistic. (Round to three or mere decimal places.) I] (d) Find the critical value. (Round to three or mere decimal places.) I] (e) Can it be concluded that the mean completion time using the new process is less than 65 minutes? OYes O No
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