certain​ city, the average​ 20- to​ 29-year old man is 69.4 inches​ tall, with a standard deviation of 3.2 ​inches, while the average​ 20- to​ 29-year old woman is 64.5 inches​ tall, with a standard deviation of 3.8 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.)   A. The​ z-score for the man​, nothing​, is smaller than the​ z-score for the woman​, nothing​, so he is relatively taller.   B. The​ z-score for the woman​, nothing​, is smaller than the​ z-score for the man​, nothing​, so she is relatively taller.   C. The​ z-score for the man​, nothing​, is larger than the​ z-score for the woman​, nothing​, so he is relatively taller.   D. The​ z-score for the woman​,   is larger than the​ z-score for the man​, nothing​, so

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
69.4
inches​ tall, with a standard deviation of
3.2
​inches, while the average​ 20- to​ 29-year old woman is
64.5
inches​ tall, with a standard deviation of
3.8
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.)
 
A.
The​ z-score for the
man​,
nothing​,
is smaller than the​ z-score for the
woman​,
nothing​,
so
he
is relatively taller.
 
B.
The​ z-score for the
woman​,
nothing​,
is smaller than the​ z-score for the
man​,
nothing​,
so
she
is relatively taller.
 
C.
The​ z-score for the
man​,
nothing​,
is larger than the​ z-score for the
woman​,
nothing​,
so
he
is relatively taller.
 
D.
The​ z-score for the
woman​,
 
is larger than the​ z-score for the
man​,
nothing​,
so
she
is relatively taller.
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