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.) OA. The z-score for the woman, OB. The z-score for the man, OC. The z-score for the woman, OD. The z-score for the man, is larger than the z-score for the man, is smaller than the z-score for the woman, is smaller than the z-score for the man, is larger than the z-score for the woman, so she is relatively taller. so he is relatively taller. so she is relatively taller. so he is relatively taller.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 3.4 #2: How do you solve?
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?
C...
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.).
OA. The Z-score for the woman,
OB. The Z-score for the man,
OC. The z-score for the woman,
OD. The z-score for the man,
is larger than the z-score for the man,
is smaller than the z-score for the woman,
is smaller than the z-score for the man,
is larger than the z-score for the woman,
, so she is relatively taller.
, so he is relatively taller.
so she is relatively taller.
so he 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? C... 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.). OA. The Z-score for the woman, OB. The Z-score for the man, OC. The z-score for the woman, OD. The z-score for the man, is larger than the z-score for the man, is smaller than the z-score for the woman, is smaller than the z-score for the man, is larger than the z-score for the woman, , so she is relatively taller. , so he is relatively taller. so she is relatively taller. so he is relatively taller.
Expert Solution
Step 1

Given:

For men:

Mean μ = 72.5

Standard deviation σ = 3.2

For women:

Mean μ = 64.3

Standard deviation σ = 3.9

Formula Used:

Z-score = X-μσ

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