Description
Proportion, Biostatistics
Unformatted Attachment Preview
Work Sheet #3
Name(s):
Solution Key
The amount of time necessary for people to take a certain test has
a normal distribution with mean 44 minutes and standard deviation 8 minutes. Label the axis, shade the appropriate portion
of the graph, and calculate the numerical value for the requested
proportion or percentile.
1. What proportion of people need more than 60 minutes to
finish this test?
z = 60−44
= 2;
8
Table A: 0.9772
Answer: 1−0.9772 = 0.0228
2. What proportion of people take less than 30 minutes to finish
this test?
z = 30−44
= −1.75;
8
Table A: 0.0401
Answer: 0.0401.
3. What proportion of people take between 30 and 60 minutes
to finish this test?
z = 60−44
= 2;
8
Table A: 0.9772
= −1.75;
z = 30−44
8
Table A: 0.0401
Answer: 0.9772 − 0.0401 = 0.9371.
4. The fastest 10% finish this exam in how many minutes?
Table A:z.10 = −1.28
x.10 = µ + z.10 × σ
x.10 = 44 − 1.28 × 8 = 33.76
Answer: about 34 minutes.
BIOS 7021
1
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Work Sheet #3
Name(s):
Solution
The amount of time necessary for people to take a certain test has
a normal distribution with mean 44 minutes and standard deviation 8 minutes. Label the axis, shade the appropriate portion
of the graph...
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