Essentials of Business Analytics (MindTap Course List)
Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN: 9781305627734
Author: Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher: Cengage Learning
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Chapter 6, Problem 10P

The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken.

  1. a. Show the sampling distribution of the sample mean annual rainfall for California.
  2. b. Show the sampling distribution of the sample mean annual rainfall for New York.
  3. c. In which of the preceding two cases, part (a) or part (b), is the standard error of x ¯ smaller? Why?
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Essentials of Business Analytics (MindTap Course List)

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