Question

Three-year-old boys in the United States have a mean height öf 38 inches and a standard deviation of 2 inches.

How tall is a three-year-old boy with a z-score of -1.0?
A boy with a z-score of -1.0 in this situation would be inches tall.

Answer 1

To solve this problem, we'll use the formula: z = (x - μ) / σ

where z is the z-score, x is the height of the boy, μ is the mean height, and σ is the standard deviation.

We know that μ = 38 inches and σ = 2 inches. We also know that the z-score is -1.0.

Plugging in these values and solving for x, we get: -1.0 = (x - 38) / 2

Multiplying both sides by 2, we get: -2 = x - 38

Adding 38 to both sides, we get: x = 38 - 2

x = 36

Therefore, a three-year-old boy with a z-score of -1.0 would be 36 inches tall