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 of14

completion times under new management was taken.

The sample had a mean completion time of

69

minutes and a standard deviation of11

minutes. Assume that the population of completion times under new management is normally distributed. At the0.1

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. Then fill in the table below.

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:(Choose one)ZtChi squareFThe value of the test statistic:

(Round to at least three decimal places.)

Thep-value:

(Round to at least three decimal places.)

At the0.1

level, can it be concluded that the mean completion time under new management is less than the scheduled mean?

Yes

No