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 64.5 inches and standard deviation 1.9 inches. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. Frequency Height (inches) Relative frequency f 60-61 3 0.0101 0.0201 61 62 62-63 0.0805 63-64 0.2248 64-65 0.3188 65-66 0.2148 66-67 0.0940 67 68 0.0302 68 69 0.0067 1.0000 Que 1 (1 n 5 (0 6 24 67 95 64 28 9 2 298 Use a normal distribution with μ = 64.5 and o= 1.9 to approximate the percentage of these students having heights within any specified range. In each part, (i) obtain the exact percentage from the table, (ii) use the normal distribution to approximate the percentage, and (iii) compare your answers. a. The percentage of female students with heights between 62 and 63 inches. (1) The actual percentage of female students with heights between 62 and 63 inches is 8.05%. (Type an integer or a decimal.) (ii) 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.) tor

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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d:
bre:
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 64.5 inches and standard deviation 1.9 inches.
Click here to view page 1 of the standard normal table.
Click here to view page 2 of the standard normal table.
Height
(inches)
Frequency
f
Relative frequency
60-61
3
0.0101
61-62
6
0.0201
62-63
24
0.0805
63-64
67
0.2248
64-65
95
0.3188
65-66
64
0.2148
66 67
28
0.0940
67 68
9
0.0302
68 69
2
0.0067
298
1.0000
Que
cion 1 (1
tion 5 (0
Use a normal distribution with u = 64.5 and o= 1.9 to approximate the
H
percentage of these students having heights within any specified range. In
each part, (i) obtain the exact percentage from the table, (ii) use the
normal distribution to approximate the percentage, and (iii) compare your
answers.
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 8.05%.
(Type an integer or a decimal.)
(ii) 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.)
correct: 1
Transcribed Image Text:d: bre: 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 64.5 inches and standard deviation 1.9 inches. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. Height (inches) Frequency f Relative frequency 60-61 3 0.0101 61-62 6 0.0201 62-63 24 0.0805 63-64 67 0.2248 64-65 95 0.3188 65-66 64 0.2148 66 67 28 0.0940 67 68 9 0.0302 68 69 2 0.0067 298 1.0000 Que cion 1 (1 tion 5 (0 Use a normal distribution with u = 64.5 and o= 1.9 to approximate the H percentage of these students having heights within any specified range. In each part, (i) obtain the exact percentage from the table, (ii) use the normal distribution to approximate the percentage, and (iii) compare your answers. 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 8.05%. (Type an integer or a decimal.) (ii) 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.) correct: 1
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