(Solved): An electronics manufacturing process has historically had a mean completion time of 70 minutes. It ...

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, \( \mu \), is now less than 70 minutes. A random sample of 18 completion times using the new process is taken. The sample has a mean completion time of 69 minutes, with a standard deviation of 8 minutes. Assurne that completion times using the new process are approximately normally distributed. At the \( 0.10 \) ievel of significance, can it be conduded 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 necossary, considf a lighifigminas) (a) state the null hypothesis \( H_{0} \) and the alternative hypothesis \( H_{1} \). \[ \begin{array}{l} H_{0}: \square \\ H_{1}: \end{array} \] (b) Determine the type of test statistic to use. (c) Find the value of the test statistic. (Round to three or more decimal places.)