26. The table below shows the batting records of two baseball players (1st half and 2nd half of a season). First Half Second Half Player Hits At-bats | Batting average Player Hits At-bats Batting average Josh 50 150 .333 Josh 35 70 .500 Jude 10 50 .200 Jude 70 150 .467 a) i) Which player had the higher batting average in the first half of the season? ii) Which player had the higher batting average in the second half of the season? b) i) Compute Josh's overall batting average for the entire season. ii) Compute Jude's overall batting average for the entire season. iii) Which player had the higher overall batting average for the season? c) Explain how these results from part a) and part b) above illustrate Simpson’s paradox.

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26. The table below shows the batting records of two baseball players (1st half and 2nd half of a season).
First Half
Second Half
Player Hits At-bats | Batting average Player Hits At-bats Batting average
Josh
50
150
.333
Josh
35
70
.500
Jude
10
50
.200
Jude
70
150
.467
a) i) Which player had the higher batting average in the first half of the season?
ii) Which player had the higher batting average in the second half of the season?
b) i) Compute Josh's overall batting average for the entire season.
ii) Compute Jude's overall batting average for the entire season.
iii) Which player had the higher overall batting average for the season?
c) Explain how these results from part a) and part b) above illustrate Simpson’s paradox.
Transcribed Image Text:26. The table below shows the batting records of two baseball players (1st half and 2nd half of a season). First Half Second Half Player Hits At-bats | Batting average Player Hits At-bats Batting average Josh 50 150 .333 Josh 35 70 .500 Jude 10 50 .200 Jude 70 150 .467 a) i) Which player had the higher batting average in the first half of the season? ii) Which player had the higher batting average in the second half of the season? b) i) Compute Josh's overall batting average for the entire season. ii) Compute Jude's overall batting average for the entire season. iii) Which player had the higher overall batting average for the season? c) Explain how these results from part a) and part b) above illustrate Simpson’s paradox.
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