One year Terry 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 2.93. Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 3.06. For the males, the mean ERA was 4.761 and the standard deviation was 0.678. For the females, the mean ERA was 4.086 and the standard deviation was 0.691. Find their respective z-scores. Which player had the better year relative to their peers, Terry or Karla? (Note: In general, the lower the ERA, the better the pitcher.) Terry had an ERA with a z-score of Karla 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? OA. Terry had a better year because of a lower z-score. OB. Karla had a better year because of a lower z-score. O C. Karla had a better year because of a higher z-score. O D. Terry had a better year because of a higher z-score. (...)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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One year Terry 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 2.93. Also, Karla had the lowest
ERA of any female pitcher at the school with an ERA of 3.06. For the males, the mean ERA was 4.761 and the standard deviation was 0.678. For the females, the mean ERA was 4.086 and the
standard deviation was 0.691. Find their respective z-scores. Which player had the better year relative to their peers, Terry or Karla? (Note: In general, the lower the ERA, the better the pitcher.)
Terry had an ERA with a z-score of
Karla 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?
OA. Terry had a better year because of a lower z-score.
OB. Karla had a better year because of a lower z-score.
O C. Karla had a better year because of a higher z-score.
O D. Terry had a better year because of a higher z-score.
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Transcribed Image Text:One year Terry 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 2.93. Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 3.06. For the males, the mean ERA was 4.761 and the standard deviation was 0.678. For the females, the mean ERA was 4.086 and the standard deviation was 0.691. Find their respective z-scores. Which player had the better year relative to their peers, Terry or Karla? (Note: In general, the lower the ERA, the better the pitcher.) Terry had an ERA with a z-score of Karla 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? OA. Terry had a better year because of a lower z-score. OB. Karla had a better year because of a lower z-score. O C. Karla had a better year because of a higher z-score. O D. Terry had a better year because of a higher z-score. ←
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