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 9P

The Economic Policy Institute periodically issues reports on wages of entry-level workers. The institute reported that entry-level wages for male college graduates were $21.68 per hour and for female college graduates were $18.80 per hour in 2011. Assume that the standard deviation for male graduates is $2.30, and for female graduates it is $2.05.

  1. a. What is the sampling distribution of x ¯ for a random sample of 50 male college graduates?
  2. b. What is the sampling distribution of x ¯ for a random sample of 50 female college graduates?
  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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