Question

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?

Answer 1