Heights of adult males are known to have a normal distribution. A researcher claims to have randomly selected adult males and measured their heights with the resulting relative frequency distribution as shown here. Identify two major flaws with these results.
Heights of adult males are known to have a normal distribution. A researcher claims to have randomly selected adult males and measured their heights with the resulting relative frequency distribution as shown here. Identify two major flaws with these results.
MATLAB: An Introduction with Applications
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![Relative
Heights of adult males are known to have a normal
distribution. A researcher claims to have randomly selected
adult males and measured their heights with the resulting
relative frequency distribution as shown here. Identify two
major flaws with these results.
Height (cm) Frequency D
130–144
23%
145–159
24%
160–174
21%
175–189
26%
190–204
28%
.....
Select all that apply.
A. The relative frequencies were recorded as percents instead of counts.
B. All of the relative frequencies appear to be roughly the same. If they are from a normal distribution, they should start low, reach a maximum, and then
decrease.
C. All of the relative frequencies are different. If they are from a normal distribution, they should all be exactly the same.
D. The classes do not allow for the possibility that an adult male could be between 144 cm and 145 cm tall, or between 159 cm and 160 cm tall, and so on.
E. The sum of the relative frequencies is 122%, but it should be 100%, with a small possible round-off error.
F.
The classes do not allow for the possibility that an adult male could be less than 130 cm tall or greater than 204 cm tall.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F902e7e06-dd9d-47fe-961b-7a721406cdf1%2Fc3abc782-d3f1-4c3d-a7dd-b039ee55f9be%2Fbx9yozo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Relative
Heights of adult males are known to have a normal
distribution. A researcher claims to have randomly selected
adult males and measured their heights with the resulting
relative frequency distribution as shown here. Identify two
major flaws with these results.
Height (cm) Frequency D
130–144
23%
145–159
24%
160–174
21%
175–189
26%
190–204
28%
.....
Select all that apply.
A. The relative frequencies were recorded as percents instead of counts.
B. All of the relative frequencies appear to be roughly the same. If they are from a normal distribution, they should start low, reach a maximum, and then
decrease.
C. All of the relative frequencies are different. If they are from a normal distribution, they should all be exactly the same.
D. The classes do not allow for the possibility that an adult male could be between 144 cm and 145 cm tall, or between 159 cm and 160 cm tall, and so on.
E. The sum of the relative frequencies is 122%, but it should be 100%, with a small possible round-off error.
F.
The classes do not allow for the possibility that an adult male could be less than 130 cm tall or greater than 204 cm tall.
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