In a certain​ city, the average​ 20- to​ 29-year old man is 69.4 inches​ tall, with a standard deviation of 3.1 ​inches, while the average​ 20- to​ 29-year old woman is 64.5 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?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a certain​ city, the average​ 20- to​ 29-year old man is 69.4 inches​ tall, with a standard deviation of 3.1 ​inches, while the average​ 20- to​ 29-year old woman is 64.5 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? 

Expert Solution
Step 1

The formula of z score is as follows ,   

z = x-μσ

where , μ is mean 

σ is standard deviation 

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