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). Height (in.) Frequency f Relative freq. 60-under 61 2 0.0065 61-under 62 0.0196 62-under 63 0.0882 63-under 64 0.2190 64 under 65 95 0.3105 65 under 66 0.2353 66-under 67 67-under 68 0.0915 0.0229 68 under 69 0.0065 306 1.0000 621522728 a. The area under the normal curve with parameters = 64.5 and σ = 1.8 that lies to the left of 65 is 0.6045. Use this information to estimate the percent of female students who are shorter than 65 inches. ☐ % (Type an integer or a decimal. Do not round.) b. Use the relative-frequency distribution to the left to obtain the exact percentage of female students who are shorter than 65 inches. % (Type an integer or a decimal. Do not round.) c. Compare your answers from parts (a) and (b). OA. The estimated percentage of female students who are shorter than 65 inches is larger than the exact percentage. OB. The estimated percentage of female students who are shorter than 65 inches is smaller than the exact percentage. OC. The estimated percentage of female students who are shorter than 65 inches is the same as the exact percentage.
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). Height (in.) Frequency f Relative freq. 60-under 61 2 0.0065 61-under 62 0.0196 62-under 63 0.0882 63-under 64 0.2190 64 under 65 95 0.3105 65 under 66 0.2353 66-under 67 67-under 68 0.0915 0.0229 68 under 69 0.0065 306 1.0000 621522728 a. The area under the normal curve with parameters = 64.5 and σ = 1.8 that lies to the left of 65 is 0.6045. Use this information to estimate the percent of female students who are shorter than 65 inches. ☐ % (Type an integer or a decimal. Do not round.) b. Use the relative-frequency distribution to the left to obtain the exact percentage of female students who are shorter than 65 inches. % (Type an integer or a decimal. Do not round.) c. Compare your answers from parts (a) and (b). OA. The estimated percentage of female students who are shorter than 65 inches is larger than the exact percentage. OB. The estimated percentage of female students who are shorter than 65 inches is smaller than the exact percentage. OC. The estimated percentage of female students who are shorter than 65 inches is the same as the exact percentage.
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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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).
Relative freq.
Height (in.)
Frequency
f.
60-under 61
2
0.0065
61-under 62
6
0.0196
62-under 63
27
0.0882
63-under 64
67
0.2190
64-under 65
95
0.3105
65 under 66
72
0.2353
66-under 67
28
0.0915
67-under 68
7
0.0229
68 under 69
2
0.0065
306
1.0000
a. The area under the normal curve with parameters μ = 64.5 and σ = 1.8
that lies to the left of 65 is 0.6045. Use this information to estimate the
percent of female students who are shorter than 65 inches.
☐ %
(Type an integer or a decimal. Do not round.)
b. Use the relative-frequency distribution to the left to obtain the exact
percentage of female students who are shorter than 65 inches.
☐ %
(Type an integer or a decimal. Do not round.)
c. Compare your answers from parts (a) and (b).
OA. The estimated percentage of female students who are shorter
than 65 inches is larger than the exact percentage.
OB. The estimated percentage of female students who are shorter
than 65 inches is smaller than the exact percentage.
C. The estimated percentage of female students who are shorter
than 65 inches is the same as the exact percentage.
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