7.37 Height and the z distribution, question 2: Kona, a 15-yearold boy, is 72 inches (182.88 centimeters)

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7.37 Height and the z distribution, question 2: Kona, a 15-yearold boy, is 72 inches (182.88 centimeters) tall. According to the CDC, the average height for boys at this age is 67.00 inches, with a standard deviation of 3.19 inches.

a. Calculate Kona’s z score.

b. What is Kona’s percentile score for height?

c. What percentage of boys this age are shorter than Kona?

d. What percentage of heights are at least as extreme as Kona’s, in either direction?

e. If Ian is in the 30th percentile for height as a 15-year-old boy, how tall is he? How does he compare to Kona?

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