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A stock analyst wondered whether the mean rate of return of financial, energy and utility stocks differed over the past 5 years. He obtained a

A stock analyst wondered whether the mean rate of return of financial, energy and utility stocks differed over the past 5 years. He obtained a simple random sample of eight companies from each of the three sectors and obtained the 5-year rates of return shown in the following table (in percents):

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

Required:

(a) State the null and alternative hypothesis.

(b) Are the mean rates of return different at the alpha = 0.05 level of significance? Please explain your answer, citing numeric and other evidence in support of your response.

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