Sky C.

asked • 12/19/18

The heights of adult men in America are normally distributed, with a mean of 69.2 inches and a standard deviation of 2.66 inches.

The heights of adult women in America are also normally distributed, but with a mean of 64.3 inches and a standard deviation of 2.58 inches.


a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?


z = ________


b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent.


__________%


c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?


z =_________


e) Who is relatively taller: a 6'3" American man or a 5'11" American woman? Defend your choice in a meaningful sentence.

1 Expert Answer

By:

Marjorie F. answered • 12/19/18

Love Building Your Confidence

Sky C.

What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent.
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12/19/18

Marjorie F.

tutor
From the z-table, lookup 2.60 which gives .9953 = 99.53 %. This says that 99.53% of women are 5 feet 11 inches or smaller. To find out how many are taller subtract from 100%: (1.0 - .9953 = .0047) which is 0.47%.
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01/13/19

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