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Simpson's Paradox in Baseball . In the sport of baseball, batting average is calculated by dividing the number of hits a player achieves by the

Simpson's Paradox in Baseball. In the sport of baseball, batting average is calculated by dividing the number of hits a player achieves by the number of official at bats. The following table shows the batting performance for Mike Legg and Edison Vasquez over two consecutive seasons.

Season 1 Season 2
Player Hits At bats Hits At bats
Mike Legg 14 56 192 589
Edison Vasquez 112 418 57 149

Calculate the batting average for Mike Legg and Edison Vasquez in Season 1. Which player has a higher batting average in Season 1?

Calculate the batting average for Mike Legg and Edison Vasquez in Season 2. Which player has a higher batting average in Season 2?

Calculate the batting average for Mike Legg and Edison Vasquez over the combined Seasons 1 and 2. Which player has the higher batting average over Seasons 1 and 2?

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