Question

Your co-worker, Amanda, and you are reliving your high school athletic "glory days" during a coffee break. She played basketball and you played baseball. Amanda scored 16 points per game and you had a .325 batting average. You are trying to see who had the better athletic career (statistically speaking), but you can’t compare basketball stats to baseball stats. Use z-scores to convert her points per game average and your batting average. What are the scores and who had the better athletic career? Assume that the mean points per game for basketball players during Amanda’s career was 15 points per game with a standard deviation of 4. Also, the batting average for baseball players during your high school career was 310 (i.e., .310) with a standard deviation of 25.

Answer 1

Answer:

Our score = 0.60, Amanda's score = 0.25

Step-by-step explanation:

For Amanda

μ = 15 , σ = 4

z- score for X = 16 is (From z table)

z = (X - μ)/σ = (16 - 15)/4 = 0.25

For us

μ = 310 , σ = 25

z score for X = 325 (From z table)

z = (325-310)/25 = 0.60

Since our z score is better than Amanda's z score, we can say we did better