Minitab Assignment

Minitab 18:
https://support.minitab.com/en-us/minitab/18/help-and-how-to/graphs/how-to/general-graphoptions/groups-and-multiple-graphs/paneling-and-multiple-graphs/#create-a-separate-panel-or-aseparate-graph-for-each-group-by-variables-tab
Minitab Express:
https://support.minitab.com/en-us/minitab-express/1/help-and-how-to/graphs/histogram/createthe-graph/single-y-variable-with-groups/
STAT100 Fall 2019 Minitab Assignment 2: Exploratory Data Analysis 2
You need to submit a Word document or PDF for this assignment. Make sure you do the following:
1. Include your name in the document in the upper left-hand corner. Under your name, write
STAT 100 and your section number.
2. Write MINITAB Assignment 2 centered on the page.
3. Number and letter your answers to the questions accordingly.
4. Copy and paste into your document all relevant output generated in Minitab.
5. Use complete and coherent sentences to answer the questions.
6. Upload the assignment to ELMS before the deadline of Sunday 9/22 at 11:59 PM otherwise it
is considered late. Please use “your name_MINITAB_2” as the file name. Make sure you save
your document on your computer or email it to yourself so that you keep an electronic copy.
In this assignment there are 2 questions worth 25 points. Read each question carefully and follow all
directions. For this assignment you need to use the PulseRates data file, containing data collected
from 91 undergraduate students. See the data description file for more information on this data set.
1. (15 points) Open the PulseRates data file. For the resting pulse rate (Pulse1) variable, generate
one histogram for each of three groups: all students, students who smoke regularly, and
students who do not smoke regularly. For each group, generate one histogram for the resting
pulse rate (Pulse1) variable using the default bin/interval settings with bins created
automatically. Be sure to use descriptive titles and labels for your histograms; in the title or
subtitle, be sure to indicate which group (all students, smokers, or non-smokers) is
represented. Paste the 3 histograms into your document.
a.
Questions about the distribution of resting pulse rate for all students. See below a
histogram created for all students but with the number of bins restricted to 7 bins.
Answer the questions below the histogram.
Histogram of Resting Pulse Rate – All students, restricted bins (7)
30
25
Frequency
20
15
10
5
0
56
64
72
80
88
96
104
Resting Pulse Rate
i. Describe any differences between the histogram you created with the default bins and
the histogram above with only 7 bins showing the distribution of the resting pulse rate
variable for all students. Focus on the shape, center, spread and any outliers in the
distributions.
ii. Based on the histogram with 7 bins for all students, within which interval does the
median resting pulse rate fall?
b.
Questions about the distribution of resting pulse rate for students who smoke regularly.
See below a histogram created for students who smoke regularly but with the number of
bins restricted to 7 bins. Answer the questions below the histogram.
Histogram of Resting Pulse Rates – Smokers, restricted bins (7)
Smokes = Yes
9
8
7
Frequency
6
5
4
3
2
1
0
56
64
72
80
88
96
104
Resting Pulse Rate
i. Describe any differences between the histogram you created with the default bins and
the histogram above with only 7 bins showing the distribution of the resting pulse rate
variable for students who smoke regularly. Focus on the shape, center, spread and any
outliers in the distributions.
ii. Based on the histogram with 7 bins for students who smoke regularly, within which
interval does the median resting pulse rate fall?
c.
Questions about the distribution of resting pulse rate for students who do not smoke
regularly. See below a histogram created for students who do not smoke regularly but
with the number of bins restricted to 7 bins. Answer the questions below the histogram.
Histogram of Resting Pulse Rates – Non-smokers, restricted bins (7)
Smokes = No
20
Frequency
15
10
5
0
56
64
72
80
88
96
104
Resting Pulse Rate
i. Describe any differences between the histogram you created with the default bins and
the histogram above with only 7 bins showing the distribution of the resting pulse rate
variable for students who do not smoke regularly. Focus on the shape, center, spread and
any outliers in the distributions.
ii. Based on the histogram with 7 bins for students who do not smoke regularly, within
which interval does the median resting pulse rate fall?
d.
Explain how you determine, in general, the interval of a histogram within which the
median falls.
2. (10 points) For the resting pulse rate (Pulse1) variable, generate descriptive statistics for each
of three groups: all students, students who smoke regularly, and students who do not smoke
regularly. Use the Descriptive Statistics command in Minitab to obtain the minimum value,
maximum value, mean, median, standard deviation, and inter-quartile range (IQR) for each
group. Paste the output in your document and be sure to indicate the group for each set of
descriptive statistics.
a. Questions about resting pulse rate for all statistics students:
i. Provide the median resting pulse rate for all students, rounded to two decimal places.
Does this median value fall within the interval you answered for question 2. a.?
ii. Provide the mean resting pulse rate for all students, rounded to two decimal places.
b. Questions about resting pulse rate for students who smoke regularly:
i. Provide the median resting pulse rate for smokers, rounded to two decimal places. Does
this median value fall within the interval you answered for question 2. b.?
ii. Provide the mean resting pulse rate for smokers, rounded to two decimal places.
c. Questions about resting pulse rate for students who do not smoke regularly:
i. Provide the median resting pulse rate for non-smokers, rounded to two decimal places.
Does this median value fall within the interval you answered for question 2. c.?
ii. Provide the mean resting pulse rate for non-smokers, rounded to two decimal places.
d. For which group (all students, students who smoke regularly, and students who do not
smoke regularly) is the difference between the mean and the median the greatest? Does
this make sense? Explain why or why not.
Pulse rates data
A medical researcher wants to study the effects of various factors on pulse rates. The researcher
records the height, weight, gender, smoking preference, activity level, and resting pulse rate of
91 undergraduate students. The researcher then randomly divides the students into two groups.
The first group runs in place for a minute while the other group stands still. Then, the researcher
records the students’ pulse rates again.
Worksheet column
Pulse1
Pulse2
Ran
Smokes
Gender
Height
Weight
Activity
Description
The resting pulse of each student
The pulse after running or not running for each student (after
treatment)
Whether or not the student ran in place: Yes or No (treatment)
Whether or not the student smokes regularly: Yes or No
The gender of the student: M or F
The height of the student, in inches
The weight of the student, in pounds
The usual activity level of the student: Slight, Moderate, or A lot
Pulse1
Pulse2
64
58
62
66
64
74
84
68
62
76
90
80
92
68
60
62
66
70
68
72
70
74
66
70
96
62
78
82
100
68
96
78
88
62
80
62
60
72
62
76
68
54
74
74
68
72
88
70
76
78
80
84
84
72
75
118
94
96
84
76
76
58
82
72
76
80
106
76
102
94
140
100
104
100
115
112
116
118
110
98
128
62
62
74
66
76
66
56
70
74
68
74
Ran
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
No
No
No
No
No
No
No
No
No
No
Smokes
No
No
Yes
Yes
No
No
No
No
No
No
Yes
No
Yes
No
No
No
Yes
Yes
Yes
No
No
No
No
Yes
No
No
Yes
No
Yes
No
No
No
Yes
Yes
No
No
No
Yes
No
No
Yes
Yes
No
No
No
Yes
Gender
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
F
F
F
F
F
F
F
F
F
F
F
M
M
M
M
M
M
M
M
M
M
M
Height
66
72
73.5
73
69
73
72
74
72
71
74
72
70
67
71
72
69
73
74
66
71
70
70
75
61
66
68
68
63
70
68
69
69
62.75
68
74
71
69
70
72
67
69
73
73
71
68
Weight
140
145
160
190
155
165
150
190
195
138
160
155
153
145
170
175
175
170
180
135
170
157
130
185
140
120
130
138
121
125
116
145
150
112
125
190
155
170
155
215
150
145
155
155
150
155
Activity
Moderate
Moderate
A lot
Slight
Moderate
Slight
A lot
Moderate
Moderate
Moderate
Slight
Moderate
A lot
Moderate
A lot
A lot
Moderate
A lot
Moderate
A lot
Moderate
Moderate
Moderate
Moderate
Moderate
Moderate
Moderate
Moderate
Moderate
Moderate
Moderate
Moderate
Moderate
Moderate
Moderate
Slight
Moderate
Moderate
Moderate
Moderate
Moderate
Moderate
A lot
Moderate
A lot
A lot
68
82
64
58
54
70
62
76
88
70
90
78
70
90
92
60
72
68
84
74
68
84
61
64
94
60
72
58
88
66
84
62
66
80
78
68
72
82
76
87
90
78
68
86
76
64
84
62
58
50
62
68
76
84
70
88
76
66
90
94
70
70
68
84
76
66
84
70
60
92
66
70
56
74
72
80
66
76
74
78
68
68
80
76
84
92
80
68
84
76
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
Yes
Yes
No
No
No
Yes
No
Yes
No
Yes
Yes
No
No
No
No
No
No
No
No
Yes
No
No
No
Yes
No
No
No
No
No
No
No
No
No
Yes
No
Yes
No
No
No
No
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
M
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
69.5
73
75
66
69
66
73
74
73.5
70
67
72
75
68
69
71.5
71
72
69
67
68
66
65.5
66
62
62
63
67
65
66
65
65
65
64
67
69
68
63
62
63
64
68
62
67
61.75
150
180
160
135
160
130
155
148
155
150
140
180
190
145
150
164
140
142
136
123
155
130
120
130
131
120
118
125
135
125
118
122
115
102
115
150
110
116
108
95
125
133
110
150
108
A lot
Moderate
A lot
A lot
Moderate
Moderate
Moderate
A lot
Moderate
Moderate
Moderate
A lot
Moderate
Slight
Moderate
Moderate
Moderate
A lot
Moderate
Moderate
Moderate
Moderate
Moderate
A lot
Moderate
Moderate
Moderate
Moderate
Moderate
Moderate
Slight
A lot
Moderate
Moderate
Moderate
Moderate
Moderate
Slight
A lot
A lot
Slight
Slight
Moderate
A lot
Moderate