We want to test whether the population variance of machine component mass meets the requirement of 4kg². To test this hypothesis, we sample 12 components and find that the variance of the sample is 5.7 kg². What are the test statistic, non-rejection region, and conclusion for this hypothesis test? The following information may be useful:
We want to test whether the population variance of machine component mass meets the requirement of 4kg². To test this hypothesis, we sample 12 components and find that the variance of the sample is 5.7 kg². What are the test statistic, non-rejection region, and conclusion for this hypothesis test? The following information may be useful:
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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Q10
![We want to test whether the population variance of machine component mass meets the
requirement of 4kg². To test this hypothesis, we sample 12 components and find that the variance of
the sample is 5.7 kg².
What are the test statistic, non-rejection region, and conclusion for this hypothesis test?
The following information may be useful:
For
v = 11:
X0.025 = 3.816
X0.05 = 4.575
X1.95 = 19.675
X6.975 = 21.920
2
Test statistic: x² = 15.675, non-rejection region = [4.6, 19.7], conclusion: The po
machine components does not meet the spec requirement of 4 kg².
ion variance of the
Test statistic: x² = 15.675, non-rejection region = [3.8, 21.9], conclusion: The population variance of the
machine components does meet the spec requirement of 4 kg².
O Test statistic:
x² = 3.9, non-rejection region = [4.6,19.7], conclusion: The population variance of the machine
components does not meet the spec requirement of 4 kg².
Test statistic: x² = 3.9, non-rejection region = [3.8, 21.9], conclusion: The population variance of the machine
components does meet the spec requirement of 4 kg2.
O None of the above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12c40d46-28e6-4ab9-9d95-c05fcb354413%2F9131b681-a7d3-4591-920f-9fa3ebeeeb7e%2Fpwj2qzo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:We want to test whether the population variance of machine component mass meets the
requirement of 4kg². To test this hypothesis, we sample 12 components and find that the variance of
the sample is 5.7 kg².
What are the test statistic, non-rejection region, and conclusion for this hypothesis test?
The following information may be useful:
For
v = 11:
X0.025 = 3.816
X0.05 = 4.575
X1.95 = 19.675
X6.975 = 21.920
2
Test statistic: x² = 15.675, non-rejection region = [4.6, 19.7], conclusion: The po
machine components does not meet the spec requirement of 4 kg².
ion variance of the
Test statistic: x² = 15.675, non-rejection region = [3.8, 21.9], conclusion: The population variance of the
machine components does meet the spec requirement of 4 kg².
O Test statistic:
x² = 3.9, non-rejection region = [4.6,19.7], conclusion: The population variance of the machine
components does not meet the spec requirement of 4 kg².
Test statistic: x² = 3.9, non-rejection region = [3.8, 21.9], conclusion: The population variance of the machine
components does meet the spec requirement of 4 kg2.
O None of the above
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