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Solved: The chi-square distribution is skewed, but as the

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 11E Chapter 5.8

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 11E

The chi-square distribution is skewed, but as the number of degrees of freedom becomes large, the skewness diminishes. If the number of degrees of freedom, k, is large enough, the chi-square distribution is reasonably well approximated by a normal distribution with mean k and variance 2k.

Refer to Exercise 10. Use the normal approximation to estimate the critical values  and  for a 95% confidence interval, and construct a 95% confidence interval for σ.

A more accurate normal approximation to  is given by , where  is the z-score that has area α to its right.

Exercise 10

A sample of size 101 from a normal population has sample standard deviation s = 40. The lower and upper 0.025 points of the  distribution are  74.222 and . Use these values to construct a 95% confidence interval for σ.

Step-by-Step Solution:
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Derrick Collins Stuart E. Bernstein Psychology 3070- 001: Research Methods Book: The Process of Research in Psychology 3 edition. Mc Bride, D.M. (2015) Notes over: Chapter 5 Variables and Measurement in Research “Dependent Variables” (99)  Variables “measured or observed from an individual.” (99)  “Reliability: degree to which the results of a study can be replicated...

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Chapter 5.8, Problem 11E is Solved
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Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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