Answered: One year Thomas had the lowest ERA…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

One year Thomas 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, Karen had the lowest ERA of any female pitcher at the school with an ERA of 3.17.
For the males, the mean ERA was 4.286 and the standard deviation was 0.567.
For the females, the mean ERA was 4.022 and the standard deviation was

0.873.

Find their respective z-scores. Which player had the better year relative to their peers, Thomas or Karen?
(Note: In general, the lower the ERA, the better the pitcher.)

Thomas had an ERA with a z-score of ____________.

Karen 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?

Thomas had a better year because of a lower z-score.

Karen had a better year because of a higher z-score.

Thomas had a better year because of a higher z-score.

Karen had a better year because of a lower z-score.

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