2.Hw.105 Notes Ask Your Tea An elementary school class ran one mile with a mean

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2.Hw.105 Notes Ask Your Tea 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 ten minutes and a standard devlation of two minutes. Kenjl, a student in the class, ran 1 mile in 8.5 minutes. A high scho 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 Kenl considered a better runner than Nedde, even though Nedda ran faster than he? (Round your standard deviations to two decimal places.) Kenjl is considered a better runner than Nedda because Kenj's time for one mile was and Nedda's time was standard deviationsSeloct. 3) than the mean of his class standard deviationsSeled: than der class. (b) who is the fastest runner with respect to his or her class? Explain why. (Raund your standard deviation to two decimal places) Select. ) 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. Another Version

Explanation / Answer

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

Z score for Rachel =(9-12)/3 =-1

Z score for Kenji =(8.5-10)/2 =-0.75

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

a)

Kenji Time for one mile was 0.75 std deviation faster than the mean of his class and Nedda's time was 0.25 std deviaiton slower than her class

b)

Rachel was the fastest........................that was 1 std deviation faster than his/her class

( please revert options if above given does not match)

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