A number of sports enthusiasts have argued that major league baseball players from teams in the Central Division have an unfair advantage over coastal players in the Western and Eastern Divisions. When playing games on the road (i.e., away from home), players from the Western and Eastern Divisions could gain (going west) or lose (going east) up to 3 hours as a result of the time zone differences; Central Division players, on the other hand, would seldom gain or lose more than 1 hour. The following data show the win/loss percentages by division for games played on the road by all three divisions of major league baseball teams for the 2004 season.

East Central West East Central West 54.3 53.1 58.0 54.3 54.3 55.6 53.1 45.7 48.1 50.0 55.0 37.0 49.4 44.4 46.9 40.7 44.4 27.2 35.8 42.0 31.3 39.0 40.7 33.8 30.5 54.3 38.8 58.0 64.2 55.0 Source: MLB.com Complete an ANOVA table for won/loss percentages by teams, representing each division. Test the null hypothesis that when teams play on the road, the mean won/loss percentage is the same for each of the three divisions. Use the 0.05 level of significance.

a. Solve using the p-value approach.

b. Solve using the classical approach.