An electronics manufacturing process has a scheduled mean completion time of75 minutes. It is claimed that, under new management, the mean completion time,, is less than75 minutes. To test this claim, a random sample of11 completion times under new management was taken.

The sample had a mean completion time of68 minutes and a standard deviation of 10 minutes. Assume that the population of completion times under new management is normally distributed. At the0.05 level of significance, can it be concluded that the mean completion time,, under new management is less than the scheduled mean?

Perform a one-tailed test. .

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table

The null hypothesis: H 0 ___________

The Alternative hypothesis H 1 ____________

The type of test statistic: Z, t, CHI square, F

The value of the test statistic: _____________

(Round to at least three decimal places.)

Thep-value:______________

(Round to at least three decimal places.)

At the0.05

level, can it be concluded that the mean completion time under new management is less than the scheduled mean? yes or no