The heights of adult men in America are normally distributed, with a mean of 69.5 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 64.6 inches and a standard deviation of 2.52 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
Section10.3: Measures Of Spread
Problem 26PFA
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The heights of adult men in America are normally distributed, with a mean of 69.5 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 64.6 inches and a standard deviation of 2.52 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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