Fundamentals of Statistics (5th Edition)
Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.2, Problem 10AYU

A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample variance, s2, is determined to be 19.8.

  1. (a) Construct a 95% confidence interval for σ2 if the sample size, n, is 10.
  2. (b) Construct a 95% confidence interval for σ2 if the sample size, n, is 25. How does increasing the sample size affect the width of the interval?
  3. (c) Construct a 99% confidence interval for σ2 if the sample size, n, is 10. Compare the results with those obtained in part (a). How does increasing the level of confidence affect the width of the confidence interval?
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