|
1. |
Make a comparison of the distance between male and
female students using the graphical
and numerical
summaries. Then, write a report to describe your
observations. |
|
2. |
Make a comparison of the distance among university A, B,
and C using the graphical and numerical summaries and
write a report to describe your observations. |
|
3. |
Analyze and summarize the "Reasons" data using a
frequency table. Then, compare the
top four
choices of reasons between male and female students.
|
|
4. |
Compare the top four choices of reasons using university
A, B, and C.
|
|
5. |
Develop your own problem of interest and analyze the
data to answer the problem.
|
|
6. |
Make a comparison of the distance between students in
different grade levels
(e.g. freshmen, sophomores,
juniors, etc.) using the graphical and numerical
summaries.
Then, write a report to describe your
observations.
|
|
7. |
Analyze and
summarize the "Reasons" data using a frequency table and
compare the top
four reasons between
different grade levels (e.g. freshmen,
sophomores, juniors, etc.).
|
|
8. |
The
following summaries and box plots represent 40 daily
closing prices for three different stocks, A, B and C.
A. What shape histograms would you
expect to see for each of the stocks, based on their
box
plots? Sketch possible histograms for Stock A, Stock B,
and Stock C.
B. Match each boxplot A, B, and C to a set of statistics
shown below (X, Y, and Z)
|
|
|
|
|
|
9. |
A teacher
wants to change the seating arrangement in her class in the hope that it will increase the number of comments
her students make. She first decides to see how
many comments students make with the current seating arrangement. A
record of the number
of comments made by 8 of her students during one
class period is shown below. She
wants to summarize this data by computing the typical number of comments made that
day.
Explain how reporting the mean number of
comments could be misleading.
| Student Initials |
A.A. |
R.F. |
A.G. |
J.G. |
C.K. |
N.K. |
J.L. |
A.W. |
| Number of Comments |
0 |
5 |
2 |
22 |
3 |
2 |
1 |
2 |
|
|
|
|
10. |
The
following stem plot represents the yearly percentage
increases in a college's
comprehensive fees over the past 22 years. Write a few sentences commenting on key features of the
distribution of percentage increases.
How would you describe the yearly
increases? (3 l 8
means that one year had a percentage increase of 3.8%.)
| 3 l |
8 |
| 4 l |
|
| 5 l |
2 8 |
| 6 l |
2 7 7 7 9 |
| 7 l |
2 4 7 8 9 |
| 8 l |
1 |
| 9 l |
1 5 7 9 |
| 10 l |
1 |
| 11 l |
|
| 12 l |
6 |
| 13 l |
6 |
| 14 l
|
|
| 15 l |
|
| 16 l |
6 |
|
|
11. |
A study
compared members of a medical clinic who filed
complaints with a random sample
of members
who did not complain. The study divided the complainers into two subgroups: those
who filed complaints about medical treatment and those
who filed nonmedical complaints. Here are the data on the
total number in each group and
the number who voluntarily left the medical clinic. Set up a two-way table. Analyze these data to see
if
there is a relationship between complaint (no
complaint, yes-medical complaint,
yes-nonmedical
complaint) and leaving the clinic (yes or no).
| |
No
Complaint |
Medical Complaint |
Nonmedical Complaint |
| Total |
743 |
199 |
440 |
| Left |
22 |
26 |
28 |
|
|
|
|
12. |
A geologist
collects hand-specimen sized pieces of limestone from a
particular area. A qualitative assessment of both
texture and color is made
with the following results.
Is there evidence of
association between color and texture for these
lime stones? Explain
your answer.
| |
Color |
| Texture |
Light |
Medium |
Dark |
| Fine |
4 |
20 |
8 |
| Medium |
5 |
23 |
12 |
| Course |
21 |
23 |
4 |
|
|
|
|
13. |
I would like
to know the various proportions of single rooms, double
rooms, and multiple
(more than two people) rooms in the dormitories, fraternities, and sororities on campus.
I am going to conduct a statistical survey.
(a) Define the sampling unit
(b) Define the population
|
|
14. |
For the
following list of variables, use your knowledge of the variable to draw a possible histogram for each variable:
(a) age at death of a sample of 34 persons
(b) the last digit in the social security
number of each of the 40 students
(c) scores on a fairly easy test in
statistics
(d) height of a group of adults
(e) number of medals won by
medal-winning countries in the 1992 Winter Olympics
|
|
15. |
The
Environmental Protection Agency (EPA) uses a measure
called the Pollutant Standards
Index (PSI) to measure air quality in a city. A PSI reading over 100 indicates a day when
the air
quality is considered unhealthy. The
measurements represent the number of days
in 1995
that the PSI was over 100 for twenty metropolitan areas in the U.S. Midwest.
| 0 |
1 |
4 |
7 |
4 |
1 |
2 |
11 |
4 |
1 |
| 2 |
4 |
5 |
3 |
1 |
14 |
7 |
0 |
0 |
1 |
(a) Make a stem and leaf plot of the
values.
(b) Determine the five-number summary
for the data. Then, construct a boxplot showing
outliers, if any. You
must show all calculations needed to determine if there are
outliers. Interpret.
(c) Write a COMPLETE description of
the distribution (include an appropriate measure of
center and of variability in
your description).
|
|
16. |
The highway
patrol wants to know what percentage of motorists drive while wearing
seatbelts.
(a) Who should participate in this study?
(b) How should the participants be
selected?
(c) What specific data would need to
be collected?
(d) What type of visual display would
be appropriate for displaying the data?
|
|
17. |
Here are the
pulse rates (in beats per minute) of a sample of 35 men:
| Pulse
rates: |
|
|
|
|
| 140 |
100 |
104 |
100 |
110 |
112 |
115 |
| 116 |
118 |
92 |
128 |
80 |
70 |
60 |
| 92 |
66 |
70 |
56 |
72 |
74 |
80 |
| 66 |
74 |
76 |
76 |
68 |
68 |
80 |
| 76 |
84 |
98 |
84 |
68 |
84 |
78 |
(a) A sample of the pulse rates for 57
women is shown in the stemplot below. Edit this
stemplot - add the
men's pulse rates so that you will have a side-by-side stemplot
for
comparing the distributions of these pulse rates.
| Men |
|
Women |
| |
l 5 l |
0 4 6 8 8 |
| |
l 6 l |
2 2 2 2 4 6 6 6
6 8 8 8 |
| |
l 7 l |
0 0 0 0 0 2 2 4
4 4 5 6 6 6 6 6 6 6 6 6 8 |
| |
l 8 l |
|
| |
l 9 l |
|
| |
l 10 l |
|
| |
l 11 l |
|
| |
l 12 l |
|
| |
l 13 l |
|
| |
l 14 l |
|
(b) The five-number summary for the
men is: (56, 71, 80, 100, 140) bpm. Use the
outlier test to determine whether
there are any outliers among the men's pulse rates.
If there
are outliers, identify them as high or low.
(c) Does it appear that one group
tends to have lower pulse rates than the other?
Explain.
(d) Write a brief coherent description
of the men's pulse rates. Be sure to include each
feature used to describe a
distribution, and be sure to relate your comments to the
context.
Your description should enable me to draw a rough, but
accurate and
complete sketch of the distribution without having to
look at the stemplot.
|
|
|
