Question

The heights of 20-year-old females are normally distributed with a mean of 64 inches 

and a standard deviation of 2 inches. What is the z-score for a height of 67 inches?

Answer 1

1.5

Explanation:

Applying,

Z = (x-μ)/σ................. Equation 1

Where Z = Z score for a height of 67 inches, x = height, μ = mean of the height, σ = standard deviation of the height.

From the question,

Given: x = 67 inches, μ = 64 inches, σ = 2 inches.

Substitute these values into equation 1

Z = (67-64)/2

Z = 3/2

Z = 1.5