An automobile assembly line operation has a scheduled mean completion time,, of15minutes. The standard deviation of completion times is1.1

minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of27

completion times under new management was taken. The sample had a mean of14.4minutes. Assume that the population is normally distributed. Can we support, at the0.05level of significance, the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times has not changed. Perform a one-tailed test. Then fill in the table below.

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

The null hypothesis: H₀ : ?

The alternative hypothesis: H₁ : ?

The type of test statistic: (Choose one)

Z

t with degrees of freedom

Chi square

F

The value of the test statistic: ?

(Round to at least three decimal places.)

The critical value at the0.05level of significance: ?

(Round to at least three decimal places.)

Can we support the claim that the mean completion time has decreased under new management?

Yes or No