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One year Roger 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 3.05. Also, Sally had the lowest ERA of any female pitcher at the school with an ERA of 2.65. For the males, the mean ERA was 4.319 and the standard deviation was 0.893. For the females, the mean ERA was 4.011 and the standard deviation was 0.607. Find their respective z-scores. Which player had the better year relative to their peers, Roger or Sally? (Note: In general, the lower the ERA, the better the pitcher.) Roger had an ERA with a z-score of Sally had an ERA with a z-score of (Round to two decimal places as needed.)

One year Roger 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 3.05. Also, Sally had the lowest ERA of any female pitcher at the school with an ERA of 2.65. For the males, the mean ERA was 4.319 and the standard deviation was 0.893. For the females, the mean ERA was 4.011 and the standard deviation was 0.607. Find their respective z-scores. Which player had the better year relative to their peers, Roger or Sally? (Note: In general, the lower the ERA, the better the pitcher.) Roger had an ERA with a z-score of Sally had an ERA with a z-score of (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 Roger 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 3.05. Also, Sally had the lowest ERA of any female pitcher at the school with an ERA of 2.65. For the males, the mean ERA was 4.319 and the standard deviation was 0.893. For the females, the mean ERA was 4.011 and the standard deviation was 0.607. Find their respective z-scores. Which player had the better year relative to their peers, Roger or Sally? (Note: In general, the lower the ERA, the better the pitcher.) Roger had an ERA with a z-score of Sally had an ERA with a z-score of (Round to two decimal places as needed.)
Transcribed Image Text:One year Roger 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 3.05. Also, Sally had the lowest ERA of any female pitcher at the school with an ERA of 2.65. For the males, the mean ERA was 4.319 and the standard deviation was 0.893. For the females, the mean ERA was 4.011 and the standard deviation was 0.607. Find their respective z-scores. Which player had the better year relative to their peers, Roger or Sally? (Note: In general, the lower the ERA, the better the pitcher.) Roger had an ERA with a z-score of Sally had an ERA with a z-score of (Round to two decimal places as needed.)
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