MS 150 Statistics Spring 2001 Midterm Examination Lee Ling
Statistic 
Equations 
Excel 
Mean 
= = x P(x) 
=AVERAGE(data) 
Sample Standard Deviation 
= sx
= 
=STDEV(data) 
Population Standard Deviation 
=
= sx 
=STDEVP(data) 
Slope 

=SLOPE(y data, x data) 
Intercept 

=INTERCEPT(y data, x data) 
Correlation 

=CORREL(y data, x data) 
Examination note: Numbers 16, 17, 26, and 27 are interpretation and analysis questions.
These should be answered using complete sentences and paragraph structure on a
separate sheet of paper. This examination can be, if you choose, typed up, printed
and turned in or submitted by email to dleeling@comfsm.fm
.
The test is due Friday morning 10:00 A.M. 02 March 2001.
I. Descriptive Statistics
The following data gives the number of Liberal Arts/PreNursing students at the College
of MicronesiaFSM from 1995 to 2001. In the first column is the year, with year 0
being 1995 and year being 2001. Note that this is seven years in all. The first
section uses the second column, the y data, to obtain some descriptive statistics.
Year, where 1995 is year 0 (x) 
Number of students in nursing program (y) 
0 
44 
1 
38 
2 
28 
3 
20 
4 
18 
5 
12 
6 
3 
 What level of measurement is the number of nursing students y data?
 _______ What is the mean number of nursing students () for these seven years?
 _______ What is the median number of nursing students?
 _______ What is the mode of the number of nursing students?
 _______ What is the sample standard deviation sy of the number of nursing students?
 _______ What is the sample Coefficient of Variation of number of nursing students?
II. Linear Regression
Use the data from Section I to complete this section.
 Plot the data from section one on the following graph:
 _______ Calculate the slope of the least squares (best fit) line.
 _______ Calculate the intercept of the least squares (best fit) line.
 _______ Using the least squares line equation, what year will the LA/prenursing program
have zero students?
 _______ The Pearson productmoment correlation will indicate whether the growth can be
reasonably modeled by a linear equation. What is the correlation r for the data in
section I?
 Is the correlation...
 perfect negative correlation
 highly negative correlation
 moderately negative correlation
 no correlation
 moderately positive correlation
 highly positive correlation
 perfect positive correlation
 _______ What is the Coefficient of Determination r² for the data in section I?
 What does the Coefficient of Determination tell us?
 _______ Is the rate of change reasonably well modeled by a linear equation?
 Why?
 What does the data tell us about the condition of the prenursing program at the
College? (Use a separate sheet of paper)
 Think of yourself as an administrator at the College. Imagine yourself as a chair,
director, vicepresident, comptroller, or president. You choose the viewpoint you
wish to take. What recommendations would you make for the prenursing program at the
College and WHY? (Use a separate sheet of paper)
III Histograms and Probability Distributions
At the national campus the distribution of grades for prenursing majors in courses
from 1995 to present is given in the table below. The second row of the table can be read
in the following manner: "89 grades of A were awarded to prenursing majors between
Spring 1995 and Fall 2000."
Grade 
Grade Point Value (x) 
Frequency or Count 
Rel. Freq. or P(x) 
x P(x) 
(xm)²P(x) 
A 
4 
89 
» 
» 
» 
B 
3 
238 
» 
» 
» 
C 
2 
346 
» 
» 
» 
D 
1 
204 
» 
» 
» 
F or W 
0 
354 
» 
» 
» 

Sums: 
» 
» 
» 
» 





» 
 Calculate the probability distribution (the relative frequencies) for each grade
and record the results in the table above.
 Make a histogram of the probability distribution (relative frequency histogram) using
the Grade Point Values for the x axis as seen below.
 What is the shape of the distribution?
 _______ Based on the data, what is the probability that a randomly selected prenursing
student will have a grade of "B" in a class in the class?
 _______ Calculate P(C or D).
 _______ Calculate the mean of the data.
 Is the mean above or below the Pell eligibility grade point average requirement?
 _______ Calculate the standard deviation of the data.
 What explanations for the trend data presented in section 1 does the grade distribution
data suggest? In other words, does the data of section III help explain the trend seen in
section I and WHY? (Use a separate sheet of paper)
 What suggestions would you make for improving the grade distribution data. Give me
realistic solutions that the College could conceivably implement. (Use a separate sheet of
paper)
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