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UST 404 Spring, 2018 Practice Assignment 4 Page 3 of3 4. Sally and John both run

ID: 3047373 • Letter: U

Question

UST 404 Spring, 2018 Practice Assignment 4 Page 3 of3 4. Sally and John both run 10 K races. The differences in courses in different cities can effect overall finishing times. Sally ran in the New York 10K race where there is a mean of 61 minutes with a standard deviation of 9 minutes. John ran in the Portland 10 K where there is a mean finishing speed of 52 minutes with a standard deviation of 12 minutes. a. Sally's finishing time was 70 minutes and John's finishing time was 58 minutes. Which one completed their race in a faster time based on the groups they ran with?

Explanation / Answer

John finished the race in a faster time based on the groups they ran with. John took 52+6(<12 i.e., standard deviation) minutes to finish and sally took 61+9(=9 i.e., standard deviation). So, John completed it faster in their group compared to Sally.