15.18 The paper referenced in Exercise 15.5 described an experiment to determine if restrictive age labeling on video games increased the attractiveness of the game for boys age 12 to 13. In that exercise, the null hypothesis of H0: m1 5 m2 5 m3 5 m4, where m1 is the population mean attractiveness rating for the game with the 71 age label, and m2,m3, and m4 are the population mean attractiveness scores for the 121, 161, and 181 age labels, respectively. The sample data is given in the accompanying table.

a. Compute the 95% T-K intervals and then use the underscoring procedure described in this section to identify significant differences among the age labels.

b. Based on your answer to Part (a), write a few sentences commenting on the theory that the more restrictive the age label on a video game, the more attractive the game is to 12- to 13-year-old boys.

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