How does Aaron Rodgers, quarterback for the 2011 Super Bowl Champion Green Bay Packers, compare to Drew Brees, quarterback for the 2010 Super Bowl winners, the New Orleans Saints? The table below shows the number of completed passes for each athlete during the 2010 NFL football season. Use the Excel printout to answer the questions that follow.

a. The Excel analysis uses the pooled estimate of σ2. Is the assumption of equal variances reasonable? Why or why not?
b. Do the data indicate that there is a difference in the average number of completed passes for the two quarterbacks? Test using α = .05.
c. What is the p-value for the test?
d. Use the information given in the printout to construct a 95% confidence interval for the difference in the average number of completed passes for the two quarterbacks. Does the confidence interval confirm your conclusion in part b? Explain.

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Aaron RodgerDrew Brees 19 21 7 27 37 25 19 15 25 28 34 29 34 27 19 30 27 35 12 22 27 26 18 21 33 29 22 24 23 21 24 t-Test: Two-Sample Assuming Equal Variances Rodgers Brees 20.800 28.000 44.029 23.333 15.000 16.000į Mean Variance Observations Pooled Variance Hypothesized Mean Difference df t Stat P(T -t) one tail t Critical one-tail P(T -t) two-tail t Critical two-tail 33.324 0.000 29.000 3.470 0.001 1.699 0.002 2.045