EXAMPLE 1.39

Find some z-scores. The heights of young women are approximately Normal with μ = 64.5 inches and σ = 2.5 inches. The z-score for height is

A woman’s standardized height is the number of standard deviations by which her height differs from the mean height of all young women. A woman 68 inches tall, for example, has z-score

or 1.4 standard deviations above the mean. Similarly, a woman 5 feet (60 inches) tall has z-score

or 1.8 standard deviations less than the mean height.