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
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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ded1aa1-bb01-4872-9d09-6d4c0c1635e7%2F17e8b01e-a1cf-4523-82db-facd53f9f6fb%2Fdebd8j_processed.jpeg&w=3840&q=75)
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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