An automobile assembly line operation has a scheduled mean completion time, µ, of 14.4 minutes. The standard deviation of completion times is 1.2 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 24 completion times under new management was taken. The sample had a mean of 13.8 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. 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.)
An automobile assembly line operation has a scheduled mean completion time, µ, of 14.4 minutes. The standard deviation of completion times is 1.2 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 24 completion times under new management was taken. The sample had a mean of 13.8 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. 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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:An automobile assembly line operation has a scheduled mean completion
time,
minutes. It is claimed that, under new management, the mean completion
time has decreased. To test this claim, a random sample of 24 completion
times under new management was taken. The sample had a mean of 13.8
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.
of 14.4 minutes. The standard deviation of completion times is 1.2
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:The null hypothesis:
H, :0
The alternative hypothesis:
H, :0
圖
O=0
OSO
00
The type of test statistic:
(Choose one)
FO
O<O
The value of the test statistic:
(Round to at least three
decimal places.)
?
The p-value:
(Round to at least three
decimal places.)
Can we support the claim that the mean
O Yes
O No
completion time has decreased under new
management?
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