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For this assignment, you submit answers by questions parts. The number of submis

ID: 3170072 • Letter: F

Question

For this assignment, you submit answers by questions parts. The number of submissions remaining for each question part only changes if you submit or change the answer. You best submission for each question part is used for you score. An elementary school class ran one mile with a mean of 12 minutes and a standard deviation of three minutes, Rachel, a student in the class, ran one mile in nine minutes. A junior high school class ran one mile with a mean of nine minutes and a standard deviation of two minutes. Kenji, a student in the class, ran 1 mile in 8.5 minutes. A high school class ran one mile with a mean of eight minutes and a standard deviation of four minutes. Nedda, a student in the class, ran one mile in nine minutes. a) Why is Kenji considered a better runner than Nedda, even though Nedda ran faster than he? (Round your standard deviations to two decimal places) Kenji is considered a better runner than Nedda because Kenji's time for one mile was standard deviations than the mean of his class and Nedda's time was standard deviations than her class. b) Who is the fastest runner with respect to his or her class? Explain why. (Round your standard deviation to two decimal places) was the fastest runner with respect to his/her class as he/she had a time that was standard deviation(s) faster than his/her class.

Explanation / Answer

as z score =(X-mean)/std deviation

Rachel z score =(12-9)/3=1

Kenji Z score =(9-8.5)/2=0.25

Nedda Z score=(8-9)/4=-0.25

a) kenji's time for one mile was 0.25 std deviation faster then the mean........Nedda time was 0.25 std deviation slower....

b)Rachel's time was the fastest.........that was 1 std deviation faster...

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