Chapter 15.2, Problem 18E

The paper referenced in Exercise 15.5 described an experiment to determine it restrictive age labeling on video games increased the attractiveness of the game for boys age 12 to 13. In that exercise, the null hypothesis $H_0:{\mu }_1={\mu }_2={\mu }_3={\mu }_4$ where μ₁, is the population mean attractiveness rating for the game with the 7+ age label, and μ₂, μ₃ and μ₄ are the population mean attractiveness scores for the 12+, 16+, and 18+ age labels, respectively, was rejected. The sample data are given in the accompanying table.

1. a. Calculate the 95% T-K intervals and then use the underscoring procedure described in this section to identify significant differences among the age labels.
2. 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.