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In: Statistics and Probability

A stock analyst wondered whether the mean rate of return of​ financial, energy, and utility stocks...

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 accompanying table​ (in percent). Complete parts​ (a) through​ (d) below.

​(c) Are the mean rates of return different at the α=0.05

level of​ significance?

Use technology to find the​ F-test statistic for this data set.

F0=____ (Round to two decimal places as​ needed.)

Determine the P-value and state the appropriate conclusion

Since the P-value is ____, there (is/is not) enough evidence to reject the null hypothesis. Thus, we (can,cannot) conclude that the mean rates of return are different at the alpha = 0.05 level of significance

(Round to three decimal places)

Financial   Energy   Utilities
10.73 12.89 11.88
15.05 13.96 5.76
17.21 6.43 13.46
5.03 11.23 9.90
19.59 18.93 3.95
8.16 20.73 3.44
10.38 9.60 7.11
6.52 17.40 15.70

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