Question

The heights of men are normally distributed with a mean of 69 inches and a standard deviation of 2.8 inches. What height separates the lowest 14% of heights?

Answer 1

Let X : heights of men are normally distributed with a mean = 69 inches and a standard deviation = 2.8 inches.

We have to find lowest 14% of heights X​​​​​​0.14

X​​​​​​0.14 = + * Z​​​​​​0.14

Using Z table Z​​​​​​0.14 = -1.08

X​​​​​​0.14 = 69 + (-1.08*2.8)

X​​​​​0.14 = 65.98 inches

Approximately 66 inches