One year Roger had the lowest ERA(earned-run average, mean number of runs yielded per nine inningspitched) of any male pitcher at hisschool, with an ERA of 2.91. Also, Betty had the lowest ERA of any female pitcher at the school with an ERA of 2.96. For themales, the mean ERA was 4.682 and the standard deviation was 0.878. For thefemales, the mean ERA was 4.713 and the standard deviation was 0.862. Find their respectivez-scores. Which player had the better year relative to theirpeers, Roger or Betty? (Note: Ingeneral, the lower theERA, the better thepitcher.)

Roger had an ERA with az-score of ___

Betty had an ERA with az-score of ____

(Round to two decimal places asneeded.)

Which player had a better year in comparison with theirpeers?

A.

Betty had a better year because of a higherz-score.

B.

Betty had a better year because of a lowerz-score.

C.

Roger had a better year because of a higherz-score.

D.

Roger had a better year because of a lowerz-score.