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

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).

(A) Are the mean rates of return different at the a=0.05 level of​ significance? Use technology to find the​ F-test statistic for this data set.

(B) Determine the​ P-value

Data:

Financial                       Energy                       Utilities

10.76                             12.89                          11.98

15.12                             13.96                           5.86

17.01                              6.43                            13.46

5.07                               11.23                            9.82

19.50                              18.93                           3.95

8.16                                20.73                           3.44

10.38                              9.60                             7.11

6.75                               17.40                            15.70