With a height of 63 in, Johnson was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of 66.5 in and a standard deviation of 1.3 in.
a. What is the positive difference between Johnson’s height and themean?
b. How many standard deviations is that[the difference found in part(a)]?
c. Convert Johnson’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 Johnson’s height usual or unusual?