The mean height of adult males is 70 inches, with a standard deviation of 4 inches. The mean height of adult females is 66 inches, with a standard deviation of 3 inches. Between a male with a height of 74 inches and a female with a height of 70 inches, who is more unusually tall within his or her respective sex?
A.
It cannot be determined, because the mean heights for the two groups are different.
B.
It cannot be determined, because the standard deviations of the heights for the two groups are different.
C.
The male, because he is 74 inches tall and the female is only 70 inches tall.
D.
Both should be considered equally tall, because both of them are four inches taller than the average height of their respective sex groups.
E.
The female, because her height is 1.33 standard deviations above the mean height of all females, whereas the male's height is only one standard deviation above the mean height of all males.
Exam No：AP Statistics Problem Set 11 Year：2024 Question No：27
Answer:
E
Knowledge points:
1.10 The Normal Distribution
1.7 Summary Statistics for a Quantitative Variable
1.9 Comparing Distributions of a Quantitative Variable
Solution:
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