Question

With a height of 67 ​in, Marvin was the shortest president of a particular club in...

With a height of

67

​in,

Marvin

was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of

75.6

in and a standard deviation of

1.8

in.

a.

What is the positive difference between

Marvin​'s

height and the​ mean?

b.

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

c.

Convert

Marvin​'s

height to a z score.

d.

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

minus−2

and​ 2, is

Marvin​'s

height usual or​ unusual?

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