Chamberlain College of Nursing: MATH 399N Final Exam / MATH399N Final Exam (NEW 2020)
MATH 399N Final Exam / MATH399N Final Exam(Latest): Chamberlain College of Nursing
1. Determine if each of the following represents nominal, ordinal, interval, or ratio data.
a. Movie ratings
b. Test scores
c....
chamberlain college of nursing math 399n final exam math399n final exam new 2020 math 399n final exam math399n final examlatest chamberlain college of nursing 1 determine if each of the
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MATH 399N / MATH399N Statistics (MATH399N)
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MATH 399 Final Exam Review
(Questions Solutions Guide)
1. Determine if each of the following represents nominal, ordinal, interval, or ratio
data.
a. Movie ratings
b. Test scores
c. Colors of shirts
Solution: (a) ordinal data since movie ratings have an order, but cannot be subtracted;
(b) ratio data since there is a real zero; (c) nominal data as there is not even order to
these data.
2. The following numbers represent the weights in pounds of six 7- year old children in
Mrs. Jones' 2nd grade class.
{25, 60, 51, 47, 49, 45}
Find the mean; median; mode; range; variance; standard deviation.
Solution: mean = 46.17
median = 48
mode does not exist range = 35.00
variance = 134.57
standard deviation =11.60
3. If the variance is 846, what is the standard deviation?
Solution: standard deviation = square root of variance = sqrt(846) =
29.086
4. If we have the following data
34, 38, 22, 21, 29, 37, 40, 41, 22, 20, 49, 47, 20, 31, 34, 66
Draw a stem and leaf. Discuss the shape of the distribution.
Solution:
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, 2|219200
3|48714
4|0197
5|
6|6
This distribution is right skewed (positively skewed) because the “tail”
extends to the right.
5. What type of sampling technique is (a) a wheat field is divided into sections and a
random sample of stocks are taken from each section, and (b) a manufacturer
measures every 80th bottle to test for quality?
Solution: (a) stratified sample as dividing into sections and sampling the same number
from each section is a stratified sample and (b) systematic as there is a system to how
the sample is being selected.
6. If a data set with a normal distribution has a mean of 32 and a standard deviation of
4.9, what percent of the data would you expect to find between 27.1 and 36.9? What
range encompasses 99.7% of these data?
Solution: Based on the empirical rule, about 68% of the data would be within that range
as 32-4.9 = 27.1 and 32+4.9=36.9. The range to include 99.7% of the data would be
within 3 standard deviations of the mean which would be 32-3(4.9)=17.3 and
32+3(4.9)=46.7.
8. If the correlation coefficient is -.749, what would be the value of the coefficient of
determination?
Solution: The coefficient of determination is (-0.749)2 = 0.561.
9. To predict the annual rice yield in pounds we use the equation
yˆ = 859 + 5.76x1 + 3.82x2 , where x1 represents the number of acres planted and
2
where x2 represents the number of acres harvested and where r = .94.
a) Predict the annual yield when 3200 acres are planted and 3000 are harvested.
2
b) Interpret the results of this r value.
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