American League baseball teams play their games with the designated hitter rule, meaning that pitchers do not bat. The league believes that replacing the pitcher, traditionally a weak hitter, with another player in the batting order produces more runs and generates more interest among fans. Below are the average numbers of runs scored per game by American League and National League teams for the 2012 season.

Use a Mann-Whitney method to test whether there is really a difference in number of runs scored.

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National League Runs American Le Colorado Rockies St. Louis Cardinals San Francisco Gants 4.43 Detroit Tigers Washington Nol 451 Kanas City Royals Milwaukee Brewers4.79New York Yns Arizona Diamondbacks 453 Btn Red Sox Philadelphia Phillies 4.22 Minnesota Twins Los Angeles Dodgers Cincinnati Reds New York Mets Atlanta Braves San Diego Padres Miami Marlins Pittsburgh Pirates Chicago Cubs Houston Astros ague Runs 4.68 Los Angles Angels4.73 4.72 Texas Rangers 4.99 4.48 4.17 4.96 453 4.33 462 4.12 4.40 3.93 Cicago White Sox 4.13 Cleveland Indians 4.01 Btimore Orioles Toronto Blue Jays Tampa Bay Rays 0akland Athletics Seattle Mariners 4.30 4.40 4.02 3.76 4.02 3.78 3.6 3.82