10.2.14 An article in Quality Engineering [2012, Vol. 24(1)] described an experiment on a grinding wheel. The following are some of the grinding force data (in N) from this experiment at two different vibration levels. Low 242, 249, 235, 250, 254, 244, 258, 311, 237, 261, 314, 252 High 302, 421, 419, 399, 317, 311, 350, 363, 392, 367, 301, 302 a. Is there evidence to support the claim that the mean grind- ing force increases with the vibration level? b. Find a 95% confidence interval for the difference in the mean grinding force for the two vibration levels. c. Is the value zero contained in the 95% confidence interval? Explain the connection with the conclusion you reached in part (a). d. Do normal probability plots of grinding force indicate any violations of the assumptions for the tests and confidence interval that you performed?
10.2.14 An article in Quality Engineering [2012, Vol. 24(1)] described an experiment on a grinding wheel. The following are some of the grinding force data (in N) from this experiment at two different vibration levels. Low 242, 249, 235, 250, 254, 244, 258, 311, 237, 261, 314, 252 High 302, 421, 419, 399, 317, 311, 350, 363, 392, 367, 301, 302 a. Is there evidence to support the claim that the mean grind- ing force increases with the vibration level? b. Find a 95% confidence interval for the difference in the mean grinding force for the two vibration levels. c. Is the value zero contained in the 95% confidence interval? Explain the connection with the conclusion you reached in part (a). d. Do normal probability plots of grinding force indicate any violations of the assumptions for the tests and confidence interval that you performed?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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![10.2.14 An article in Quality Engineering [2012, Vol. 24(1)]
described an experiment on a grinding wheel. The following are
some of the grinding force data (in N) from this experiment at two
different vibration levels.
Low 242, 249, 235, 250, 254, 244, 258, 311, 237, 261, 314, 252
High 302, 421, 419, 399, 317, 311, 350, 363, 392, 367, 301, 302
a. Is there evidence to support the claim that the mean grind-
ing force increases with the vibration level?
b. Find a 95% confidence interval for the difference in the
mean grinding force for the two vibration levels.
c. Is the value zero contained in the 95% confidence
interval? Explain the connection with the conclusion you
reached in part (a).
d. Do normal probability plots of grinding force indicate
any violations of the assumptions for the tests and confidence
interval that you performed?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1da296ee-2468-43bb-ac80-be0eb8484519%2Fe441576b-981a-42d8-8ee6-bf5d0d761855%2Fkiagv4k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10.2.14 An article in Quality Engineering [2012, Vol. 24(1)]
described an experiment on a grinding wheel. The following are
some of the grinding force data (in N) from this experiment at two
different vibration levels.
Low 242, 249, 235, 250, 254, 244, 258, 311, 237, 261, 314, 252
High 302, 421, 419, 399, 317, 311, 350, 363, 392, 367, 301, 302
a. Is there evidence to support the claim that the mean grind-
ing force increases with the vibration level?
b. Find a 95% confidence interval for the difference in the
mean grinding force for the two vibration levels.
c. Is the value zero contained in the 95% confidence
interval? Explain the connection with the conclusion you
reached in part (a).
d. Do normal probability plots of grinding force indicate
any violations of the assumptions for the tests and confidence
interval that you performed?
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Step 1: Write the given information.
VIEWStep 2: Perform two sample variance to check whether variances for two independent samples are equal or not.
VIEWStep 3: Perform the test to claim that the mean grinding force increases with the vibration level.
VIEWStep 4: Determine the 95% confidence interval for difference in mean grinding force for two vibration level.
VIEWStep 5: Determine whether zero is contained in the 95% confidence interval.
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