Adult men have an average height of 69.0 inches with a standard deviation of 2.8 inches. Find the height of a man with a z-score of − 2.75? Round to one decimal place.

Question

I have no idea how to do this or what it is even called.

Answer 1

First you will need the formula for a z-score. This formula will relate the man's height to the average height and standard deviation.

z = (X -X-bar)/s

Z = -2.75 X-bar = the average height of men = 69.0 inches and s = standard deviation = 2.75

Plug in each value and use algebra to love for X.

-2.75 = (X-69)/2.68