The heights of adult men in America are normally distributed, with a mean of 69.1 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 64.2 inches and a standard deviation of 2.55 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? z = 2.22 b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent. 98.68 % c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z= 2.67 d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent. % e) Who is relatively taller: a 6'3" American man or a 5'11" American woman? Defend your choice in a meaningful sentence.

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d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent. e) Who is relatively taller: a 6'3" American man or a 5'11" American woman? Defend your choice in a meaningful sentence.
Question 9
The heights of adult men in America are normally distributed, with a mean of 69.1 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 64.2 inches and a standard deviation of 2.55 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?
z = 2.22
b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent.
98.68
c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
z = 2.67
d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a
percent.
e) Who is relatively taller: a 6'3" American man or a 5'11" American woman? Defend your choice in a
meaningful sentence.
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Transcribed Image Text:Question 9 The heights of adult men in America are normally distributed, with a mean of 69.1 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 64.2 inches and a standard deviation of 2.55 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? z = 2.22 b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent. 98.68 c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z = 2.67 d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent. e) Who is relatively taller: a 6'3" American man or a 5'11" American woman? Defend your choice in a meaningful sentence. Submit Question
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