An automobile assembly line operation has a scheduled mean completion time, µ, of 14.7 minutes. The standard deviation of completion times is 1.6 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 80 completion times under new management was taken. The sample had a mean of 14.3 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,. 0: H H, :0 (b) Determine the type of test statistic to use. |(Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O

An automobile assembly line operation has a scheduled mean completion time, µ, of 14.7 minutes. The standard deviation of completion times is 1.6 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 80 completion times under new management was taken. The sample had a mean of 14.3 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,. 0: H H, :0 (b) Determine the type of test statistic to use. |(Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O

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Description: An automobile assembly line operation has a scheduled mean completion time, u, of 14.7 minutes. The standard deviation of completion times is 1.6 minutes. Itis claimed that, under new management, the mean completion time has decreased. To test this

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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Question

An automobile assembly line operation has a scheduled mean completion time, u, of 14.7 minutes. The standard deviation of completion times is 1.6 minutes. It
is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 80 completion times under new
management was taken. The sample had a mean of 14.3 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.
H, :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one)
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O#0
O<O
(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?
Yes ONo
미

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