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, u , is now less than 65 minutes. A random sample of 15 completion times using the new process is taken. The sample has a mean completion time 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

Carry your intermediate computations to 3 or more decimal places

a). State the null and alternative hypothesis

b). Determine the type of test statistic to use

c). Find the value of the test statistic ( round to 3 or more decimal places)

d). Find p-value ( round to 3 or more decimal places)

e). Can it be concluded that the mean completion time using the new process is less than 65 minutes?