An automobile assembly line operation has a scheduled mean completion time, µ, of 15.2 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 70 completion times under new management was taken. The sample had a mean of 15 minutes. 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 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 H, and the alternative hypothesis H1- H, :0 H :0 |(b) Determine the type of test statistic to use. (Choose one) O=0 Oso D20 (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) Can we support the claim that the mean completion time has decreased under new management? OYes ONo

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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An automobile assembly line operation has a scheduled mean
completion time, µ, of 15.2 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 70 completion times under new management was taken. The
sample had a mean of 15 minutes. 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 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 H, and the alternative hypothesis H.
P
H :
H :0
(b) Determine the type of test statistic to use.
O=0 OsO
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
?
(d) Find the critical value. (Round to three or more decimal places.)
(e) Can we support the claim that the mean completion time has decreased
under new management?
OYes ONo
Transcribed Image Text:An automobile assembly line operation has a scheduled mean completion time, µ, of 15.2 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 70 completion times under new management was taken. The sample had a mean of 15 minutes. 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 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 H, and the alternative hypothesis H. P H : H :0 (b) Determine the type of test statistic to use. O=0 OsO (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) ? (d) Find the critical value. (Round to three or more decimal places.) (e) Can we support the claim that the mean completion time has decreased under new management? OYes ONo
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