The figure below shows a frequency and relative-frequency distribution for the heights of female students attending a college. Records show that the mean height of these students is 64.5 inches and that the standard deviation is 1.8 inches. Use the given information to complete parts (a) through (c). a. The area under the normal curve with parameters H = 64.5 and o = 1.8 that lies to the left of 63 is 0.2100. Use this information to estimate the percent of female students who are shorter than 63 inches. 21 % (Type an integer or a decimal. Do not round.) Frequency Height (in.) Relative freq. O f b. Use the relative-frequency distribution to the left to obtain the exact percentage of female students who are 60-under 61 0.0070 61-under 62 9 0.0314 shorter than 63 inches. 62-under 63 25 0.0871 % 63-under 64 62 0.2160 64-under 65 94 0.3275 (Type an integer or a decimal. Do not round.) 65-under 66 62 0.2160 66-under 67 25 0.0871 67-under 68 6. 0.0209 68-under 69 0.0070 287 1.0000

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The figure below shows a frequency and
relative-frequency distribution for the heights of female
students attending a college. Records show that the
mean height of these students is 64.5 inches and that the
standard deviation is 1.8 inches. Use the given
information to complete parts (a) through (c).
a. The area under the normal curve with parameters
H = 64.5 and o = 1.8 that lies to the left of 63 is 0.2100.
Use this information to estimate the percent of female
students who are shorter than 63 inches.
21 %
(Type an integer or a decimal. Do not round.)
Frequency
Height (in.)
Relative freq. O
f
b. Use the relative-frequency distribution to the left to
obtain the exact percentage of female students who are
60-under 61
2
0.0070
61-under 62
0.0314
shorter than 63 inches.
62-under 63
25
0.0871
63-under 64
62
0.2160
64-under 65
94
0.3275
(Type an integer or a decimal. Do not round.)
65-under 66
62
0.2160
66-under 67
25
0.0871
67-under 68
6.
0.0209
68-under 69
2
0.0070
287
1.0000
Transcribed Image Text:The figure below shows a frequency and relative-frequency distribution for the heights of female students attending a college. Records show that the mean height of these students is 64.5 inches and that the standard deviation is 1.8 inches. Use the given information to complete parts (a) through (c). a. The area under the normal curve with parameters H = 64.5 and o = 1.8 that lies to the left of 63 is 0.2100. Use this information to estimate the percent of female students who are shorter than 63 inches. 21 % (Type an integer or a decimal. Do not round.) Frequency Height (in.) Relative freq. O f b. Use the relative-frequency distribution to the left to obtain the exact percentage of female students who are 60-under 61 2 0.0070 61-under 62 0.0314 shorter than 63 inches. 62-under 63 25 0.0871 63-under 64 62 0.2160 64-under 65 94 0.3275 (Type an integer or a decimal. Do not round.) 65-under 66 62 0.2160 66-under 67 25 0.0871 67-under 68 6. 0.0209 68-under 69 2 0.0070 287 1.0000
Expert Solution
Step 1

(a)

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The area under the normal curve with parametersμ= 64.5 and σ= 1.8 that lies to the left of 63 is 0.2100 

 

 

 

 

 

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