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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