NEED STATISTICAL ASSISTANCE

Question

I NEED TO FIND THE ANSWER TO THIS QUESTION.

 

With a height of 62 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 71.4 in and a standard deviation of 2.8 in. 

a. What is the positive difference between Johnson's height and the mean?

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 −2 and 2, is Johnson's height usual or unusual?

The positive difference between Johnson's height and the mean is ? in.

 

Answer 1

Constance,

            

A Abs(62-71.4)=9.4 in

 

B.9.4/2.8 =3.357....

 

C.Z=(62-72.4)/2.8=-3.357..

 

D. since Z is outside the "usual" interval of -2 and 2 Johnson's height would be considered unusual.

 

Hope this helps

 

Jim