The heights of adult men in America are normally distributed, with a mean of 69.6 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 64.4 inches and a standard deviation of 2.53 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? Z = b) If a woman is 5 feet 11 inches tall, what is her z- score (to two decimal places)? Z = c) Who is relatively taller? The 6 foot 3 inch American man The 5 foot 11 inch American woman

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The heights of adult men in America are normally
distributed, with a mean of 69.6 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 64.4 inches and a
standard deviation of 2.53 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score
(to two decimal places)?
Z =
b) If a woman is 5 feet 11 inches tall, what is her z-
score (to two decimal places)?
Z =
c) Who is relatively taller?
The 6 foot 3 inch American man
O The 5 foot 11 inch American woman
Transcribed Image Text:The heights of adult men in America are normally distributed, with a mean of 69.6 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 64.4 inches and a standard deviation of 2.53 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? Z = b) If a woman is 5 feet 11 inches tall, what is her z- score (to two decimal places)? Z = c) Who is relatively taller? The 6 foot 3 inch American man O The 5 foot 11 inch American woman
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