We would like to discern whether there are real differences between the batting performance of baseball players according to their position: outfielder (OF), infielder (IF), designated hitter (DH), and catcher (C). We will use a data set called bat10, which includes batting records of 327 Major League Baseball (MLB) players from the 2010 season. The measure we will use for the player batting performance (the outcome variable) is on-base percentage (OBP). The on base percentage roughly represents the fraction of the time a player successfully gets on base or hits a home run. For this baseball data, MSG = 0.00252 and MSE = 0.00127. Identify the degrees of freedom associated with MSG and MSE and calculate the F statistic.
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