The table below lists pitches in a baseball game for two pitchers and the breakdown of “strikes” and “balls” (good pitches and bad pitches). The summary statistics are also listed. Pitcher Strikes Balls Total Bumgarner 76 32 108 Cueto 76 41 117 Bumgarner Cueto Sample Mean (pitches per inning) 12.0 13.0 Sample Variance (pitches per inning) 3.5 8 Sample Size (# of innings) 9 9 (an “inning” is one of the rounds in a game) Q : Perform a hypothesis test to see if the proportion of throwing strikes for Bumgarner and Cueto is not equal for the entire season. Set the Type I error equal to 10%.
- The table below lists pitches in a baseball game for two pitchers and the breakdown of “strikes” and “balls” (good pitches and bad pitches). The summary statistics are also listed.
|
Pitcher |
Strikes |
Balls |
Total |
|
Bumgarner |
76 |
32 |
108 |
|
Cueto |
76 |
41 |
117 |
Bumgarner Cueto
Sample Mean (pitches per inning) 12.0 13.0
Sample Variance (pitches per inning) 3.5 8
Sample Size (# of innings) 9 9
(an “inning” is one of the rounds in a game)
Q : Perform a hypothesis test to see if the proportion of throwing strikes for Bumgarner and Cueto is not equal for the entire season. Set the Type I error equal to 10%.
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