One year PerryPerry had the lowest ERA (earned-run average, mean number of runs

Question

One year PerryPerry 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 2.882.88. Also, JulieJulie had the lowest ERA of any female pitcher at the school with an ERA of 3.043.04. For the males, the mean ERA was 4.8174.817 and the standard deviation was 0.8620.862. For the females, the mean ERA was 4.2994.299 and the standard deviation was 0.6050.605. Find their respective z-scores. Which player had the better year relative to their peers, PerryPerry or JulieJulie? (Note: In general, the lower the ERA, the better the pitcher.) PerryPerry had an ERA with a z-score of nothing. JulieJulie had an ERA with a z-score of nothing. (Round to two decimal places as needed.) Which player had a better year in comparison with their peers? A. JulieJulie had a better year because of a higher z-score. B. JulieJulie had a better year because of a lower z-score. C. PerryPerry had a better year because of a higher z-score. D. PerryPerry had a better year because of a lower z-score.

Explanation / Answer

Perry z score =(X-mean)/std deviation =(2.88-4.817)/0.862=-2.25

Julie z score =(X-mean)/std deviation =(3.04-4.299)/0.605=-2.08

option A is correct Julie had a better year because of a higher z-score

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.