Managers at an automobile manufacturing plant would like to examine the mean completion time, H, of an assembly line operation. The past data indicate that the mean completion time is 43 minutes, but the managers have good reason to believe that this value has decreased. The managers plan to perform a statistical test. After choosing a random sample of assembly Iline completion times, the managers compute the sample mean completion time to be 40 minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of 3 minutes. Based on this information, complete the parts below. (a) What are the null hypothesis H. and the alternative hypothesis H, that should be used for the test? H:0 OSO H, :0 (b) Suppose that the managers decide to reject the null hypothesis. What sort of error might they be making? (Choose one) ▼ (c) Suppose the true mean completion time for the assembly line operation is 38 minutes. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) v the hypothesis that u is (Choose one) (Choose one) ▼ when, in fact, u is (Choose one)
Managers at an automobile manufacturing plant would like to examine the mean completion time, H, of an assembly line operation. The past data indicate that the mean completion time is 43 minutes, but the managers have good reason to believe that this value has decreased. The managers plan to perform a statistical test. After choosing a random sample of assembly Iline completion times, the managers compute the sample mean completion time to be 40 minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of 3 minutes. Based on this information, complete the parts below. (a) What are the null hypothesis H. and the alternative hypothesis H, that should be used for the test? H:0 OSO H, :0 (b) Suppose that the managers decide to reject the null hypothesis. What sort of error might they be making? (Choose one) ▼ (c) Suppose the true mean completion time for the assembly line operation is 38 minutes. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) v the hypothesis that u is (Choose one) (Choose one) ▼ when, in fact, u is (Choose one)
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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Managers at an automobile manufacturing plant would like to examine the mean completion time, u, of an assembly line operation. The past data indicate that
the mean completion time is 43 minutes, but the managers have good reason to believe that this value has decreased. The managers plan to perform a
statistical test.
After choosing a random sample of assembly line completion times, the managers compute the sample mean completion time to be 40 minutes. The standard
deviation of the population of completion times can be assumed not to have changed from the previously reported value of 3 minutes.
Based on this information, complete the parts below.
(a) What are the null hypothesis H. and the alternative hypothesis H. that should be used for the test?
Ho :0
Aa
O<O
H :0
(b) Suppose that the managers decide to reject the null hypothesis. What sort of error might they be making?
(Choose one) ▼
(c) Suppose the true mean completion time for the assembly line operation is 38 minutes. Fill in the blanks to describe a Type
II error.
A Type II error would be(Choose one)
v the hypothesis that u is (Choose one)
V(Choose one) ▼
when, in fact, µ is (Choose one)
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