In a certain city, the average 20- to 29-year old man is 72.5 inches tall, with a standard deviation of 3.2 inches, while the average 20- to 29-year old woman is 64.3 inches tall, with a standard deviation of 3.9 inches. Who is relatively taller, a 75-inch man or a 70-inch woman? ..... Find the corresponding z-scores. Who is relatively taller, a 75-inch man or a 70-inch woman? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. The z-score for the man, is smaller than the z-score for the woman, so he is relatively taller. O B. The Z-score for the woman, is smaller than the z-score for the man, so she is relatively taller. O C. The Z-score for the man, is larger than the z-score for the woman, so he is relatively taller. O D. The z-score for the woman, is larger than the z-score for the man, so she is relatively taller.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In a certain city, the average 20- to 29-year old man is 72.5 inches tall, with a standard deviation of 3.2 inches, while the average 20- to 29-year
old woman is 64.3 inches tall, with a standard deviation of 3.9 inches. Who is relatively taller, a 75-inch man or a 70-inch woman?
.....
Find the corresponding z-scores. Who is relatively taller, a 75-inch man or a 70-inch woman? Select the correct choice below and fill in the
answer boxes to complete your choice.
(Round to two decimal places as needed.)
O A. The z-score for the man,
is smaller than the z-score for the woman,
so he is relatively taller.
B. The z-score for the woman,
is smaller than the z-score for the man,
so she is relatively taller.
C. The z-score for the man,
is larger than the z-score for the woman,
, so he is relatively taller.
D. The z-score for the woman,
is larger than the z-score for the man,
so she is relatively taller.
Transcribed Image Text:In a certain city, the average 20- to 29-year old man is 72.5 inches tall, with a standard deviation of 3.2 inches, while the average 20- to 29-year old woman is 64.3 inches tall, with a standard deviation of 3.9 inches. Who is relatively taller, a 75-inch man or a 70-inch woman? ..... Find the corresponding z-scores. Who is relatively taller, a 75-inch man or a 70-inch woman? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. The z-score for the man, is smaller than the z-score for the woman, so he is relatively taller. B. The z-score for the woman, is smaller than the z-score for the man, so she is relatively taller. C. The z-score for the man, is larger than the z-score for the woman, , so he is relatively taller. D. The z-score for the woman, is larger than the z-score for the man, so she is relatively taller.
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