An automobile assembly line operation has a scheduled mean completion time, µ, of 13.7 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 90 completion times under new management was taken. The sample had a mean of 13.3 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 fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list

MATLAB: An Introduction with Applications
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An automobile assembly line operation has a scheduled mean completion
time, µ, of 13.7 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 90 completion
times under new management was taken. The sample had a mean of 13.3
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.
0o
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. (If necessary, consult a list
of formulas.)
Transcribed Image Text:An automobile assembly line operation has a scheduled mean completion time, µ, of 13.7 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 90 completion times under new management was taken. The sample had a mean of 13.3 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. 0o 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. (If necessary, consult a list of formulas.)
H, :0
The null hypothesis:
S
H :0
The alternative hypothesis:
圖
O=0
OSO
The type of test statistic:
(Choose one)
O<O
The value of the test statistic:
(Round to at least three
decimal places.)
The critical value at the 0.01
level of significance:
(Round to at least three
decimal places.)
Can we support the claim that the mean
completion time has decreased under new
O Yes
O No
management?
Transcribed Image Text:H, :0 The null hypothesis: S H :0 The alternative hypothesis: 圖 O=0 OSO The type of test statistic: (Choose one) O<O The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.01 level of significance: (Round to at least three decimal places.) Can we support the claim that the mean completion time has decreased under new O Yes O No management?
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