In the sport of baseball, batting average is calculated by dividing the number of hits a...

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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 two players over two consecutive seasons. (Round your answers to three decimal places.) Player Mike Season 1 Hits At Bats Edison 111 Edison 13 57 419 Season 2 Edison Hits 191 56 At Bats 588 (a) Calculate the batting average for Mike in Season 1. 150 Calculate the batting average for Edison in Season 1. Which player has a higher batting average in Season 1? (b) Calculate the batting average for Mike in Season 2. X Calculate the batting average for Edison in Season 2. Which player has a higher batting average in Season 2? (c) Calculate the batting average for Mike over the combined Seasons 1 and 2. (b) Calculate the batting average for Mike in Season 2. Calculate the batting average for Edison in Season 2. Which player has a higher batting average in Season 2? Edison (c) Calculate the batting average for Mike over the combined Seasons 1 and 2. Calculate the batting average for Edison over the combined Seasons 1 and 2. Which player has a higher batting average over Seasons 1 and 2? Mike (d) Explain how the results in parts (a) through (c) illustrate Simpson's paradox. 1. Despite Mike having a higher batting average for each season individually, Edison had the higher combined batting average. 2. Despite having been at bat less times than Edison over the two seasons, Mike had a higher batting average for each season individually. 3. Despite Edison having a higher batting average for each season individually, Mike had the higher combined batting average. 4. Despite having less successful hits than Edison over the two seasons, Mike had a higher batting average for each season individually. 5. Despite having less successful hits than Mike over the two seasons, Edison had a higher batting average for each season individually. 6. Despite having been at bat less times than Mike over the two seasons, Edison had a higher batting average for each season individually. iii 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 two players over two consecutive seasons. (Round your answers to three decimal places.) Player Mike Season 1 Hits At Bats Edison 111 Edison 13 57 419 Season 2 Edison Hits 191 56 At Bats 588 (a) Calculate the batting average for Mike in Season 1. 150 Calculate the batting average for Edison in Season 1. Which player has a higher batting average in Season 1? (b) Calculate the batting average for Mike in Season 2. X Calculate the batting average for Edison in Season 2. Which player has a higher batting average in Season 2? (c) Calculate the batting average for Mike over the combined Seasons 1 and 2. (b) Calculate the batting average for Mike in Season 2. Calculate the batting average for Edison in Season 2. Which player has a higher batting average in Season 2? Edison (c) Calculate the batting average for Mike over the combined Seasons 1 and 2. Calculate the batting average for Edison over the combined Seasons 1 and 2. Which player has a higher batting average over Seasons 1 and 2? Mike (d) Explain how the results in parts (a) through (c) illustrate Simpson's paradox. 1. Despite Mike having a higher batting average for each season individually, Edison had the higher combined batting average. 2. Despite having been at bat less times than Edison over the two seasons, Mike had a higher batting average for each season individually. 3. Despite Edison having a higher batting average for each season individually, Mike had the higher combined batting average. 4. Despite having less successful hits than Edison over the two seasons, Mike had a higher batting average for each season individually. 5. Despite having less successful hits than Mike over the two seasons, Edison had a higher batting average for each season individually. 6. Despite having been at bat less times than Mike over the two seasons, Edison had a higher batting average for each season individually. iii