An electronics manufacturing process has a scheduled mean completion time of 65 minutes. It is claimed that, under new management, the mean completion time, μ , is less than 65 minutes. To test this claim, a random sample of 20 completion times under new management was taken. The sample had a mean completion time of 61 minutes and a standard deviation of 8 minutes. Assume that the population of completion times under new management is normally distributed. At the 0.05 level of significance, can it be concluded that the mean completion time, μ , under new management is less than the scheduled mean? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (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.
An electronics manufacturing process has a scheduled mean completion time of 65 minutes. It is claimed that, under new management, the mean completion time, μ , is less than 65 minutes. To test this claim, a random sample of 20 completion times under new management was taken. The sample had a mean completion time of 61 minutes and a standard deviation of 8 minutes. Assume that the population of completion times under new management is normally distributed. At the 0.05 level of significance, can it be concluded that the mean completion time, μ , under new management is less than the scheduled mean? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (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.
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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Question
An electronics manufacturing process has a scheduled mean completion time of
minutes. It is claimed that, under new management, the mean completion time,
, is less than
minutes. To test this claim, a random sample of
completion times under new management was taken.
minutes and a standard deviation of
minutes. Assume that the population of completion times under new management is normally distributed. At the
level of significance, can it be concluded that the mean completion time,
, under new management is less than the scheduled mean?
65
μ
65
20
The sample had a mean completion time of
61
8
0.05
μ
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
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