With a height of 65 in, Arthur was the shortest president of a particular club i

Question

With a height of 65 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 71.8 in and a standard deviation of 2.2 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

Ans:

Given that

mean=71.6

standard deviation=2.2

Arthur's height=65

a)positive difference=71.6-65=6.6

b)3*standard deviation=3*2.2=6.6

So,3 standard deviations

c) z score=(65-71.6)/2.2=-3

d)As,z score<-2,so,Arthur's height is unusual.

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