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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

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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.T Aaron Rodgers Ben Roethlisberger 19 21 7 15 2D 19 15 25 19 22 34 27 19 17 21 12 22 17 23 27 25 30 22 18 21 18 15 (a) Does the data indicate that there is a difference in the variability in the number of passes completed for the two quarterbacks? Use a = 0.01. State the null and alternative hypotheses. 2 2 H0: 012 = 0'2 versus Ha: 0'12 0'2 2_ _ 9-22 0 H0: 012 i 022 versus Ha: 01 2 O HO: . 2 2 versus Ha. 0'1 3 02 q ... | '62 2 O HO: . 2 2 versus Ha. 0'1

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