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ID: 3062545 • Letter: 2

Question

23445 46 47 4 4 50 2 22 22 2 4242 242 42 22 22 22 0 2 22 2 2 21.252 2 2 414310 gnment Submission for each geetion part only changes a you suermit or change the answer ignment Scoring oSta1 2 HN 105 y 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 hight school class ran one mile with a mean of ten minutes and a standard deviation of two minutes. Kenjl, a student in the class, ran I 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 ten minutes (a) why is kenji considered a better runner than Nedda, even though Nedda ran faster than he? (Round your standard deviations to two decima pices.) standard deviations (b) Who is the fastest runner with respect to his or her class? Explain why, (Round your standard deviation to two decimal places.) v was the fastest nunner with respect to his/her class as he/she had a time that was faster than his/her c

Explanation / Answer

Solution:-
a) Rachel : (9 - 12)/3 = -1

kenji : (8.5 - 10)/2 = -0.75 (8.5 -

nedda : (10 - 8)/4 = 0.5

=> kenji is consider a better runner than nedda because kenji's time for one mile was 0.75 standard deviation faster than the mean of his class and nedda's time was 0.50 standard deviation slower than her class


b)Rachel was the fastest runner with respect to his/her class as he/she had a time that was 1 standard deviation faster than his/her class

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