Assuming that the heights of college women are normally distributed with mean 69 inches and standard deviation 1.8 inches, answer the following questions. (Hint: Use the figure below with mean u and standard deviation a.) Area Under a Normal Curve 2.35% 13.5% 34% 34% 13.5% 2.35% u- 30 u- 20 e+ 20 e+ 30 68% 95% 99.7% (a) What percentage of women are taller than 69 inches? 50 (b) What percentage of women are shorter than 69 inches? 50 % (c) What percentage of women are between 67.2 inches and 70.8 inches? % (d) What percentage of women are between 65.4 and 72.6 inches? %

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Assuming that the heights of college women are normally distributed with mean 69 inches and standard deviation 1.8 inches, answer the following questions. (Hint: Use the figure below with mean u
and standard deviation a.)
Area Under a Normal Curve
2.35%
13.5%
34%
34%
13.5% 2.35%
u- 30 u- 20
e+ 20
e+ 30
68%
95%
99.7%
(a) What percentage of women are taller than 69 inches?
50
(b) What percentage of women are shorter than 69 inches?
50
%
(c) What percentage of women are between 67.2 inches and 70.8 inches?
%
(d) What percentage of women are between 65.4 and 72.6 inches?
%
Transcribed Image Text:Assuming that the heights of college women are normally distributed with mean 69 inches and standard deviation 1.8 inches, answer the following questions. (Hint: Use the figure below with mean u and standard deviation a.) Area Under a Normal Curve 2.35% 13.5% 34% 34% 13.5% 2.35% u- 30 u- 20 e+ 20 e+ 30 68% 95% 99.7% (a) What percentage of women are taller than 69 inches? 50 (b) What percentage of women are shorter than 69 inches? 50 % (c) What percentage of women are between 67.2 inches and 70.8 inches? % (d) What percentage of women are between 65.4 and 72.6 inches? %
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