Problem: If I wondered whether the mean rate of return of? financial, energy, and utility stocks differed over the past 5 years. I 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 table? below (in percent). What formula would I use to state the null and alternative hypotheses, and if the normal probability plots indicate that the sample data come from normal populations, would the requirements to use the? one-way ANOVA procedure? satisfied? What formula would I use to determine if the mean rates of return different at the α=0.05 level of? significance and find the? F-test statistic for this data set and also the P-value?
Financial Energy Utilities
10.73 12.89 11.88
15.12 13.91 5.86
17.01 6.43 13.67
5.03 11.23 9.90
19.50 18.93 3.95
8.21 20.73 3.44
10.45 9.60 7.11
6.52 17.40 15.70