The table below shows a​ relative-frequency distribution for the heights of female students at a midwestern college. The heights are approximately normally distributed with mean 64.4 inches and standard deviation 1.7 inches. Height ​(inches) Frequency f Relative frequency   60< 61 3 0.0101   61<62 7 0.0236   62<63 24 0.0808   63<64 69 0.2323   64<65 98 0.3300   65<66 67 0.2256   66<67 21 0.0707   67<68 6 0.0202   68<69 2 0.0067     297 1.0000   Use a normal distribution with μ=64.4 and σ=1.7 to approximate the percentage of these students having heights within any specified range. ​The normal distribution approximates the percentage of female students with heights between 62 and 63 inches to be __________​%. ​(Round to two decimal places as​ needed.

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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The table below shows a​ relative-frequency distribution for the heights of female students at a midwestern college. The heights are approximately normally distributed with mean 64.4 inches and standard deviation 1.7 inches.

Height
​(inches)
Frequency
f
Relative frequency
 
60< 61
3
0.0101
 
61<62
7
0.0236
 
62<63
24
0.0808
 
63<64
69
0.2323
 
64<65
98
0.3300
 
65<66
67
0.2256
 
66<67
21
0.0707
 
67<68
6
0.0202
 
68<69
2
0.0067
 
 
297
1.0000

 

Use a normal distribution with μ=64.4 and σ=1.7 to approximate the percentage of these students having heights within any specified range.

​The normal distribution approximates the percentage of female students with heights between 62 and 63 inches to be __________​%.
​(Round to two decimal places as​ needed.)
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