An automobile assembly line operation has a scheduled mean completion time, µ, of 15.1 minutes. The standard deviation of completion times is 1.2 minutes. Itis claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 70 completion times under newmanagement was taken. The sample had a mean of 14.9 minutes. Can we support, at the 0.05 level of significance, the claim that the mean completion timehas 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.)Aa(a) State the null hypothesis H, and the alternative hypothesis H,.Ho区H: ](b) Determine the type of test statistic to use.OSO(Choose one)O

Given,sample size(n)=70sample mean(x¯)=14.9standard deviation(σ)=1.2α=0.05

Answered: An automobile assembly line operation…

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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Before changes to its management staff, an automobile assembly line operation had scheduled mean completion time of 14.2 minutes. The standard deviation of completion times was 1.3 minutes. An analyst at the company suspects that, under new management, the mean completion time, μ, is now less than 14.2 minutes. To test this claim, a random sample of 100 completion times under new management was taken by the analyst. The sample had a mean of 13.9 minutes. Can we support, at the 0.10 level of significance, the claim that the population mean completion time under new management is less than 14.2 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho…
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An automobile assembly line operation has a scheduled mean completion time, µ, of 12.9 minutes. The standard deviation of completion times is 1.5 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 150 completion times under new management was taken. The sample had a mean of 12.8 minutes. Can we support, at the 0.1 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, :0 H¡ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ OSO (c) Find the value of the test statistic. (Round to three or more…
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