Managers at an automobile manufacturing plant would like to examine the mean completion time, μ, of an assembly line operation. The past data indicate that the mean completion time is 41 minutes, but the managers have good reason to believe that this value has increased. 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 42 minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of 5 minutes. Based on this information, complete the parts below. (a) What are the null hypothesis H₁ and the alternative hypothesis H₁ that should be used for the test? Ho (b) Suppose that the managers decide not 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 44 minutes. Fill in the blanks to describe a Type II error. 3 O

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Managers at an automobile manufacturing plant would like to examine the mean completion time, μ, of an assembly line
operation. The past data indicate that the mean completion time is 41 minutes, but the managers have good reason to
believe that this value has increased. 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 42 minutes. The standard deviation of the population of completion times can be assumed not to have changed
from the previously reported value of 5 minutes.
Based on this information, complete the parts below.
(a) What are the null hypothesis H and the alternative hypothesis H₁ that should
be used for the test?
HO
H₁0
(b) Suppose that the managers decide not 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 44
minutes. Fill in the blanks to describe a Type II error.
A Type II error would be (Choose one) Y the hypothesis that u is.
(Choose one)
▼ (Choose one) ▼ when, in fact, u is
(Choose one) ▼
H
□口
X 0
OSO
ロ=ロ
☐☐
Transcribed Image Text:Managers at an automobile manufacturing plant would like to examine the mean completion time, μ, of an assembly line operation. The past data indicate that the mean completion time is 41 minutes, but the managers have good reason to believe that this value has increased. 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 42 minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of 5 minutes. Based on this information, complete the parts below. (a) What are the null hypothesis H and the alternative hypothesis H₁ that should be used for the test? HO H₁0 (b) Suppose that the managers decide not 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 44 minutes. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) Y the hypothesis that u is. (Choose one) ▼ (Choose one) ▼ when, in fact, u is (Choose one) ▼ H □口 X 0 OSO ロ=ロ ☐☐
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