With a height 64 in, ronald was the shortest president of a particular club in t

Question

With a height 64 in, ronald was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of 68.8 and a standard deviation of 2.8 in.

A. what is the positive difference between Ronalds height and the mean?

B. how many standard deviations is that (the difference found in part a)?

C. Convert Ronald's height to a z score.

D. If we consider usual heights to be those that convert to Z scores between -2 and 2 is Ronald's height usual or unusual?

Explanation / Answer

A. 68.8 - 64 = 4.8 inches

B. No of std deviations = 4.8/2.8 = 1.714 std deviations

C. Z = (x - mu)/stdev

    Z = (64 - 68.8)/2.8

    Z = -1.714

D. It is usual since it is within the interval of -2 and +2

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