With a height of 68 in, Arthur was the shortest president of a particular club i

Question

With a height of 68 in, Arthur was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of 75.2 in and a standard deviation of 1.8 in. a. What is the positive difference between Arthur's height and the mean? b. How many standard deviations is that [the difference found in part (a)]? c. Convert Arthur'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 Arthur's height usual or unusual? a. The positive difference between Arthur's height and the mean is in.

Explanation / Answer

a) Positive difference = 75.2 - 68 = 7.2

b) Number of standard deviations = 7.2/1.8 = 4

c) z score = (68 - 75.2)/1.8 = -4

d) Arthur's height is unusual because its z score is less than -2

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