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One year Todd 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 3.26. Also, Rita had the lowest ERA of any female pitcher at the school with an ERA of 3.32. For the males, the mean ERA was 5.065 and the standard deviation was 0.841. For the females, the mean ÉRA was 4.604 and the standard deviation was 0.522. Find their respective z-scores. Which player had the better year relative to their peers, Todd or Rita? (Note: In general, the lower the ERA, the better the pitcher.) Todd had an ERA with a z-score of Rita had an ERA with a z-score of (Round to two decimal places as needed.)

One year Todd 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 3.26. Also, Rita had the lowest ERA of any female pitcher at the school with an ERA of 3.32. For the males, the mean ERA was 5.065 and the standard deviation was 0.841. For the females, the mean ÉRA was 4.604 and the standard deviation was 0.522. Find their respective z-scores. Which player had the better year relative to their peers, Todd or Rita? (Note: In general, the lower the ERA, the better the pitcher.) Todd had an ERA with a z-score of Rita 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 Todd 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 3.26. Also, Rita had the lowest ERA of any female pitcher at the school with an ERA of 3.32. For the males, the mean ERA was 5.065 and the standard deviation was 0.841. For the females, the mean ÉRA was 4.604 and the standard deviation was 0.522. Find their respective z-scores. Which player had the better year relative to their peers, Todd or Rita? (Note: In general, the lower the ERA, the better the pitcher.) Todd had an ERA with a z-score of Rita had an ERA with a z-score of (Round to two decimal places as needed.)
Transcribed Image Text:One year Todd 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 3.26. Also, Rita had the lowest ERA of any female pitcher at the school with an ERA of 3.32. For the males, the mean ERA was 5.065 and the standard deviation was 0.841. For the females, the mean ÉRA was 4.604 and the standard deviation was 0.522. Find their respective z-scores. Which player had the better year relative to their peers, Todd or Rita? (Note: In general, the lower the ERA, the better the pitcher.) Todd had an ERA with a z-score of Rita had an ERA with a z-score of (Round to two decimal places as needed.)
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