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.6, Problem 17AYU

Rates of Return A stock analyst wondered whether the mean rate of return of financial, energy, and utility stocks differed over the past five years. He obtained a simple random sample of eight companies from each of the three sectors and obtained the five-year rates of return shown in the following table (in percent):

Financial Energy Utilities
10.76 12.72 11.88
15.05 13.91 5.86
17.01 6.43 13.46
5.07 11.19 9.90
19.50 18.79 3.95
8.16 20.73 3.44
10.38 9.60 7.11
6.75 17.40 15.70

 Source: Morningstar.com

  1. (a) State the null and alternative hypotheses.
  2. (b) Verify that the requirements to use the one-way ANOVA procedure are satisfied. Normal probability plots indicate that the sample data come from normal populations.
  3. (c) Are the mean rates of return different at the α = 0.05 level of significance?
  4. (d) Draw boxplots of the three sectors to support the results obtained in part (c).
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Fundamentals of Statistics (5th Edition)

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