Chapter 15.1, Problem 12E

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 Pest (which measures immediate memory recall).

In addition, $\overline{\stackrel{¯}{x}}=30.19$. 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 means for Hopkins score are not the same for the three student populations? Use α = 0.05.