21. [4] Mandy participated in two races under very different conditions. In one

Question

21. [4] Mandy participated in two races under very different conditions. In one race she finished with a time of 70.4 minutes. In that race the average finishing time was 79.3 minutes with a standard deviation of 15.3 minutes. In the other race she finished with a time of 54.8 minutes. In that race the average finishing time was 60.5 minutes with a standard deviation of 7.43 minutes. The distribution of finishing times is not normally distributed. In which race did Mandy perform better? Show work that supports your answer.

Explanation / Answer

Z score in first race = (70.4-79.3)/15.3 = -0.58

Z score in Second race = (54.8-60.5)/7.43 = -0.77

So, in First race Mandy Perform better

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