The heights of US adult males are nearly normally distributed with a mean of 69 inches and a standard deviation of 2.8 inches. Find the -score of a man who is 63 inches tall.

Question

The heights of US adult males are nearly normally distributed with a mean of 69 inches and a standard deviation of 2.8 inches. Find the �-score of a man who is 63 inches tall.  Round to two decimal places.



Answer 1

Given:

1. The mean of height of adult men is 69.0 inches
2. The standard deviation is 2.8 inches

We have to find a z-score of a man of 63 inches tall.

Therefore; and the formula is;

x = 63

μ = 69 Z = x — μ / σ

σ = 2.8

So putting the values in the formula we get;

Z = 63-69 / 2.8

= –6 / 2.8

= –2.14

Hence, the z-score corresponding to the 63 inches tall man is z= –2.14.