An automobile assembly line operation has a scheduled mean completion time, μ , of 13 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 150 completion times under new management was taken. The sample had a mean of 12.7 minutes. Can we support, at the 0.01 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 H0 and the alternative hypothesis H1 . H0: H1: (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? Yes No
An automobile assembly line operation has a scheduled mean completion time, μ , of 13 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 150 completion times under new management was taken. The sample had a mean of 12.7 minutes. Can we support, at the 0.01 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 H0 and the alternative hypothesis H1 . H0: H1: (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? Yes No
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An automobile assembly line operation has a scheduled mean completion time,
, of
minutes. The standard deviation of completion times is
minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of
completion times under new management was taken. The sample had a mean of
minutes. Can we support, at the
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.
μ
13
1.3
150
12.7
0.01
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.)
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