Introduction to Probability and Statistics
Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Chapter 7.5, Problem 7.26E

Faculty Salaries Suppose that college faculty with the rank of prolessor at public 2-year institutions earn an average of $71,802 per year7 with a standard deviation of $4000. In an attempt to verify this salary level, a random sample of 60 professors was selected from a personnel database for all 2—year institutions in the United States.

  1. Describe the sampling distribution of the sample mean x ¯ .
  2. Within what limits would you expect the sample average to lie, with probability .95?
  3. Calculate the probability that the sample mean x ¯ is greater than $73,000?
  4. If your random sample actually produced a sample mean of $73,000, would you consider this unusual? What conclusion might you draw?

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Introduction to Probability and Statistics

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