Question

1.With a height of 61​in,Vincent was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of 62.8 in and a standard deviation of 2.3 in.

.a.	What is the positive difference between Vincent​'s height and the​ mean?
.b.	How many standard deviations is that​ [the difference found in part​ (a)]?
.c.	Convert Vincent​'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 Vincent​'s height usual or​ unusual?

2.Below are the range and standard deviation for a set of data. Use the range rule of thumb and compare it to the standard deviation listed below. Does the range rule of thumb produce an acceptable​ approximation? Suppose a researcher deems the approximation as acceptable if it has an error less than​ 15%.

RangeRange	=	2.95
Standard DeviationStandard Deviation	=	0.909

The estimated standard deviation is = ---?.

​(Round to three decimal places as​ needed.)

Answer 1