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An electronics manufacturing process has historically had a mean completion time of 70 minutes. It is daimed that, due to improvements in the process, the mean completion Utme, $?$, is now less than 70 minutes, A random sample of 21 completion times using the new process is taken. The sample has a mean completion time of 65 minutes, with a standard deviation of 11 minutes. Assume that completion times using the new process are approximately normally distributed. At the 0.10 level of signifieance, can it be concluded that the population mean completion time using the new process is less than 70 minutes? Perform a one-talled 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 hypothess $H_{0}$ and the alternative hypothesis $H_{1}$. $H_{0}=?H_{1}=??$
(c) Find the value of the test statistic. (Round to three or more decimal places.) (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? Yes No

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