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Consider a test of coordination that has a normal​ distribution, a mean of 70​, and a...

Consider a test of coordination that has a normal​ distribution, a mean of 70​, and a standard deviation of 15. ​(a) How high a score would a person need to have to be in the top 1​%? ​(b) Explain your answer to someone who has never had a course in statistics

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Answer #1

By using the normal curve table 2.33 (0.0099 = 1) So for the sake of this problem I will use2.33 as the Z score that correlates with having to be in the top 1%

Z = 2.33

Mean (M) = 70; SD = 15

X = Z(SD) + M

X = 2.33(15) + 70

X = 105

105 would a person need to have to be in the top 1​%

Explain your answer (to somebody who has never had a statistics course).

This means that 95% of the people got a score of 105 or less.

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