An automobile assembly line operation has a scheduled mean completion time,  μ , of  13  minutes. The standard deviation of completion times is  1.3  minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of  150  completion times under new management was taken. The sample had a mean of  12.7  minutes. Can we support, at the  0.01  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. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis  H0  and the alternative hypothesis  H1 . H0: H1: (b) Determine the type of test statistic to use.   ▼(Choose one)   (c) Find the value of the test statistic. (Round to three or more decimal places.)   (d) Find the p-value. (Round to three or more decimal places.)   (e) Can we support the claim that the mean completion time has decreased under new management? Yes No

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An automobile assembly line operation has a scheduled mean completion time, 
μ
, of 
13
 minutes. The standard deviation of completion times is 
1.3
 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 
150
 completion times under new management was taken. The sample had a mean of 
12.7
 minutes. Can we support, at the 
0.01
 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.

Perform a one-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)

(a) State the null hypothesis 
H0
 and the alternative hypothesis 
H1
.
H0:
H1:
(b) Determine the type of test statistic to use.
  ▼(Choose one)
 
(c) Find the value of the test statistic. (Round to three or more decimal places.)
 
(d) Find the p-value. (Round to three or more decimal places.)
 
(e) Can we support the claim that the mean completion time has decreased under new management?
Yes No
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