Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 12.7 minutes. The standard deviation of completion times was 1.5 minutes. An analyst at the company suspects that, under new management, the mean completion time, μ, is now less than 12.7 minutes. To test this claim, a random sample of 44 completion times under new management was taken by the analyst. The sample had a mean of 12.4 minutes. Assume that the population is normally distributed. Can we support, at the 0.01 level of significance, the claim that the population mean completion time under new management is less than 12.7 minutes? Assume that the population standard deviation of completion times has not changed under new management. 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. a. State the null hypothesis H0 and the alternative hyposthesis H1. b. Find the value of the test statistic. Round to three or more decimals. c. Find the p-value. d. Can we support the claim that the population mean completion time under new managment is less than 12.7 minutes?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 12.7 minutes. The standard deviation of completion times was 1.5 minutes. An analyst at the company suspects that, under new management, the mean completion time, μ, is now less than 12.7 minutes. To test this claim, a random sample of 44 completion times under new management was taken by the analyst. The sample had a mean of 12.4 minutes. Assume that the population is normally distributed. Can we support, at the 0.01 level of significance, the claim that the population mean completion time under new management is less than 12.7 minutes? Assume that the population standard deviation of completion times has not changed under new management. 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.

a. State the null hypothesis H0 and the alternative hyposthesis H1.

b. Find the value of the test statistic. Round to three or more decimals.

c. Find the p-value.

d. Can we support the claim that the population mean completion time under new managment is less than 12.7 minutes?

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