In: Statistics and Probability
Using the data, find the z-score for a woman who is 5 feet tall and a man who is 6 feet tall. Would it be more unusual to find a man who is taller than 6 feet, or a woman who is shorter than 5 feet? Use these z-scores and proximity to the mean to justify your response.
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