One year Chris had the lowest ERA (earned-run average, mean number of runs yield
ID: 3071892 • Letter: O
Question
One year Chris had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched of any male pitcher at his school with an ERA of 2.64. Also, Beth had the lowest ERA of any female pitcher at the school with an ERA of 3.26. For the males, the mean ERA was 4.257 and the standard deviation was 0.669. For the females, the mean ERA was 4.563 and the standard deviation was 0.877. Find their respective z-scores. Which player had the better year relative to their peers, Chris or Beth? (Note: In general, the lower the ERA, the better the pitcher.) Chris had an ERA with a z-score of Beth had an ERA with a z-score of (Round to two decimal places as needed.) Which player had a better year in comparison with their peers? O A. Beth had a better year because of a lower z-score O B. Chris had a better year because of a lower z-score. O C. Chris had a better year because of a higher z-score O D. Beth had a better year because of a higher z-scoreExplanation / Answer
z score for Chris = (2.64 - 4.257)/0.669 = -2.42
z score for Beth = (3.26 - 4.563)/0.877 = -1.49
Option B is correct.
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