A study compared three groups high incidence of head injuries among soccer players might affect memory recall. The following is information on scores from the Hopkins Verbal Learning Test (which measures immediate memory recall) college students (soccer athletes, nonsoccer athletes, and a comparison group consisting of students who did not participate in intercollegiate sports) to see if the Comparison Group Soccer Athletes Nonsoccer Athletes Group Sample size 86 95 51 Sample mean score 30.99 29.35 29.80 Sar standard deviation 3.74 5.12 3.76
In addition, 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 mean Hopkins score is not the same for the three student populations? Use a0.05.
State the appropriate null and alternative hypotheses. (Let ,, and z be the true means for the three different groups.)
Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value
F=
P=