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. a. The percentage of female students with heights between 62 and 63 inches. (i) The actual percentage of female students with heights between 62 and 63 inches is ________%. (Type an integer or a decimal.)
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. a. The percentage of female students with heights between 62 and 63 inches. (i) The actual percentage of female students with heights between 62 and 63 inches is ________%. (Type an integer or a decimal.)
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
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
a. The percentage of female students with heights between 62 and 63 inches.
(i) The actual percentage of female students with heights between 62
and 63 inches is ________%.
and 63 inches is ________%.
(Type an integer or a decimal.)
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