In Example 8.5 on page 500 we see a comparison of mean pulse rates between students who prefer each of three different awards (Academy Award, Nobel Prize, Olympic gold medal). The ANOVA test shows that there appears to be a difference in mean pulse rates among those three groups. Can you guess why award preference might be associated with pulse rates? One possibility is exercise. Perhaps students who prefer an Olympic medal are more likely to be athletes who exercise more frequently, stay in shape, and thus have lower pulse rates. Use technology and the data in StudentSurvey that includes a variable measuring the typical hours of exercise per week for each student to see if there is a difference in mean exercise amounts depending on award preference. Be sure to check that the conditions for ANOVA are reasonable in this situation.

Exercise 8.5

Two sets of sample data, A and B, are given. Without doing any calculations, indicate in which set of sample data, A or B, there is likely to be stronger evidence of a difference in the two population means. Give a brief reason, comparing means and variability, for your answer.

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Group 1 Group 2 36 24 30 12 18 Dataset A ****... CO Group 1 Group 2 6. 12 18 24 30 36 Dataset B