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Subject Initial.Weight Terminal.Weight
1
171 168
2
110 111
3
134 136
4
115 119
5
150 155
6
104 106
7
142 148
8
120 124
9
144 148
10
156 154
11
114 114
12
121 123
13
122 126
14
120 115
15
115 118
16
110 113
17
142 146
18
127 127
19
102 105
20
125 125
21
157 158
22
119 126
23
113 114
24
120 128
25
135 139
26
148 150
27
110 112
28
160 163
29
220 224
30
132 133
31
145 147
32
141 141
33
158 160
34
135 134
35
148 150
36
164 165
37
137 138
38
198 201
39
122 124
40
146 146
41
150 151
42
187 192
43
94
96
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
105
127
142
140
107
104
111
160
134
151
127
106
185
125
125
155
118
149
149
122
155
160
115
167
131
105
130
144
143
107
105
112
162
134
151
130
108
188
128
126
158
120
150
149
121
158
161
119
170
131
STAT 212 – Assignment 7
Due Date: April 12th, 2021
Data Description and Background
Is it true that students tend to gain weight during their first year in college? Cornell Professor of
Nutrition David Levitsky recruited students from two large sections of an introductory health
course. Although they were volunteers, they appeared to match the rest of the freshman class
in terms of demographic variables such as gender and ethnicity. The students were weighed
during the first week of the semester, then again 12 weeks later at the end of the semester
(weights are in pounds). Below is the link to the data source,

Answer or perform the following:
1) Construct a dotplot depicting the distribution of the change in the studentsÃ¢â‚¬â„¢ weights
from the beginning of the semester to the end of the semester. Ã¢â‚¬â€œ 1.5 pts
2) Provide an estimate of the mean change in weight for freshman students. Ã¢â‚¬â€œ 1 pt
3) Suppose Professor Levitsky wishes to use the data he collected from his students in a
research paper. He wants to prove freshman students tend to gain weight during their
first semester in college.
Frame this research question as a hypothesis testing problem. Identify the parameter
being tested, the null value, and explicitly write out the null and alternative hypothesis
in terms of the parameter and null value. Ã¢â‚¬â€œ 1 pt
4) Carry out the hypothesis tests you suggested in part 3 at level of significance ÃŽÂ±0 = 0.05.
What would be your conclusion – accept or reject the null hypothesis? Ã¢â‚¬â€œ 2 pts
5) Tying the results of the hypothesis testing problem back into Professor LevitsyÃ¢â‚¬â„¢s goals,
does the result of the hypothesis test support or refute his theory on freshman weight
gain. Ã¢â‚¬â€œ 1/2 pt

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