# Question

The question arises every year when the playoffs begin in the National Football League: â€śWhich division teams are the toughest, East, North, South, or West?â€ťTwo ways to measure the strength of the football teams that play are the number of points they score and the number of points their opponents score. The final results for the 16 games played in the 2009 season are shown in the table below:

Complete an ANOVA table for (a) points scored and (b) points scored by opposing teams. In each case, test the null hypothesis that the mean number of points scored is the same for each of the four divisions. Use the 0.05 level of significance.

a. Solve using the p-value approach.

b. Solve using the classical approach.

Complete an ANOVA table for (a) points scored and (b) points scored by opposing teams. In each case, test the null hypothesis that the mean number of points scored is the same for each of the four divisions. Use the 0.05 level of significance.

a. Solve using the p-value approach.

b. Solve using the classical approach.

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