With a height of 68 in, Alexander was the shortest president of a particular clu

Question

With a height of 68 in, Alexander was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of 71.1in and a standard deviation of 2.4in.

a.

What is the positive difference between

Alexander

's

b.

How many standard deviations is that [the difference found in part (a)]?

c.

Convert

Alexander

's

d.

If we consider "usual" heights to be those that convert to z scores between

minus

2

and 2, is

Alexander

's

height usual or unusual?

a.

Explanation / Answer

a.) Positive difference between Alexander = (71.1 - 68) = 3.1

b.) 1.292 sd's

c.) Z score = 1.292

d.) If the z scores are between -2 and 2

The height will be (71.1 - 2×2.4 , 71.1 + 2×2.4)

66.3 and 75.9

Therefore the height is usual.

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