e assembly line operation has a scheduled mean completion time, μ, of 13.8 minutes. The standard deviation of completion times is 1.7 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 31 completion times under new management was taken. The sample had a mean of

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An automobile assembly line operation has a scheduled mean completion time, μ, of 13.8 minutes. The standard deviation of completion times is 1.7 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 31 completion times under new management was taken. The sample had a mean of 13.4 minutes. Assume that the population is normally distributed. Can we support, at the 0.05 level 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.

State the null hypothesis 
H0
 and the alternative hypothesis 
H1
.
H0:
H1:

Using the z test find the value and round to 4 decimal places 

Find the critical value

Can we support the claim that the mean completion time has decreased under new management? Yes or no?

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