With a height of 68 in, Arthur was the shortest president of a particular club i

Question

With a height of 68 in, Arthur was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of 69.7 in and a standard deviation of 1.6 in. a. What is the positive difference between Arthur's height and the mean? b. How many standard deviations is that [the difference found in part (a)]? c. Convert Arthur's height to a z score. d. If we consider "usual" heights to be those that convert to z scores between minus2 and 2, is Arthur's height usual or unusual?

Explanation / Answer

a.The positive difference between Arthur's height and the mean is:

69.7-68=1.7

c.The converted z score of height is:

z=(x-)/

=(68-69.7)/1.6

=-1.06

d.If the "usual" heights to be those that convert to z scores between minus2 and 2 the Arthur's height is usual.

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.