Quarterbacks not only need to have a good passing percentage, but they need to be consistent. That is, the variability in the number of passes completed per game should be small. The table below gives the number of passes completed for Ben Roethlisberger and Aaron Rodgers, quarterbacks for the Pittsburgh Steelers and Green Bay Packers, respectively, during the 2010 NFL season.

a. Does the data indicate that there is a difference in the variability in the number of passes completed for the two quarterbacks? Use α = .01.
b. If you were going to test for a difference in the two population means, would it be appropriate to use the two-sample t-test that assumes equal variances? Explain.

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Aaron Rodgers 21 27 26 Ben Roethlisberger 20 25 19 21 23 17 17 30 18 12 27 15 21