15.11 In the introduction to this chapter, we considered a study comparing three groups of college students

(soccer athletes, nonsoccer athletes, and a control group consisting of students who did not participate in intercollegiate sports). The following table gives information on scores from the Hopkins Verbal Learning Test (which measures immediate memory recall).

Soccer Athletes Nonsoccer Athletes Control Sample size 86 95 53 Sample mean score 29.90 30.94 29.32 Sample standard deviation 3.73 5.14 3.78 In addition, x 5 30.19. Suppose that it is reasonable to regard these three samples as random samples from the three student populations of interest.

Is there sufficient evidence to conclude that the mean Hopkins score is not the same for the three student populations? Use a 5 .05.