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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger
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Data for tire life was described in Exercise 8-29. The

Chapter 9, Problem 87E

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QUESTION:

Data for tire life was described in Exercise 8-29. The sample standard deviation was  kilometers and \(n=16\).
(a) Can you conclude, using \(\alpha=0.05\), that the standard deviation of tire life is less than 4000 kilometers? State any necessary assumptions about the underlying distribution of the data. Find the  -value for this test.
(b) Explain how you could answer the question in part (a) by constructing a  one-sided confidence interval for \(\sigma\).

Equation Transcription:

Text Transcription:

n=16

alpha=0.05

sigma

Questions & Answers

QUESTION:

Data for tire life was described in Exercise 8-29. The sample standard deviation was  kilometers and \(n=16\).
(a) Can you conclude, using \(\alpha=0.05\), that the standard deviation of tire life is less than 4000 kilometers? State any necessary assumptions about the underlying distribution of the data. Find the  -value for this test.
(b) Explain how you could answer the question in part (a) by constructing a  one-sided confidence interval for \(\sigma\).

Equation Transcription:

Text Transcription:

n=16

alpha=0.05

sigma

ANSWER:

Step 1 of 2

=sample standard deviation=3285 kilometers

a) No, you cannot conclude that the standard deviation of tire life is less than 4000 kilometers with alpha=0.05. The assumption for this test is that the underlying distribution of the data is normal. The -value for this test is not calculable with the given information.

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