An automobile assembly lime operation has a scheduled mean completion time of 12.8 minutes. The standard deviation of completion time 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 49 completion times under new management was taken. The sample mean is 12.6 minutes. Assume that the population is normally distributed.Can we support, as the 0.05 level of significance, that the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times had not changed. Perform a one tailed test, and complete the parts below.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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An automobile assembly lime operation has a scheduled mean completion time of 12.8 minutes. The standard deviation of completion time 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 49 completion times under new management was taken. The sample mean is 12.6 minutes. Assume that the population is normally distributed.Can we support, as the 0.05 level of significance, that the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times had not changed.

Perform a one tailed test, and complete the parts below.

(a) State the null hypothesis H, and the alternative hypothesis H,.
Ho
H,
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places
(d) Find the p-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:(a) State the null hypothesis H, and the alternative hypothesis H,. Ho H, (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places (d) Find the p-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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