Question

Heights of men and women in the U.S. are normally distributed. Recent information shows:

Adult men heights:    µ = 69.6 inches with σ = 3 inches.

Adult women heights: µ = 64.1 inches with σ = 2.7 inches.

4.

Find the probability that a male in the U.S. is shorter than 5 ft. or taller than 6ft.

(round to the 4th decimal place)

Find the probability that a female in the U.S. is shorter than 5 ft. or taller than 6ft.

(round to the 4th decimal place)

Which would be more common:

• A.

  A man being above 6 feet tall

• B.

  A woman being below 5 feet tall

For the previous question:

The z-score for a man being taller than 6 feet would be:

The z-score for a woman being shorter than 5 feet would be:

(round z-scores to the 2nd decimal place)

Answer 1

TOPIC:Comparison using z-scores and required probabilities.