4. At the 0.05 level, can we conclude there is a difference between the students’ fall
weight and spring weight?
Draw a random sample from the 67 college students, carefully explaining
your procedure.
YOU MUST USE a different “random” method this time
your sample must consist of 10 students, not 20-29
Determine whether your sample provides statistical evidence that
there is a difference between the students’ fall weight (before) and
spring weight (after). Set alpha at 0.05.
Adding on to the written report above, address question 4!
o Note: It may be wise to use a hypothesis testing sheet (nice
handwriting, etc…) to help with your report.
Transcribed Image Text: ID# AGE Gender
179
180
181
182
183
184
185
186
187
188
189
190
191
192
198
199
200
58
56
66
58
193
41
194
60
195 45
196
61
197
201
202
203
204
205
206
207
208
209
210
211
212
226
227
228
229
230
231
232
21
213
74
214
58
69
215
216 49
217 45
218 56
219 24
220 39
221
49
222
74
223 46
234
235
236
237
238
239
67
46
62
37
224 37
225 44
42
240
241
72
31
58
41
41
60
255
256
35
80
52
257
258
259
260
80
26
22
19
29
233 26
40
30
43
22
42
21
261
262
263
18
80
54
58
80
21
70
57
78
ID# AGE Gender
264
265
53
19
242
243
244
245
246
247
45
68
248
249 57
250 56
251 37
252
42
253
39
254
23
23
20
56
80
20
30
45
75
20
29
55
24
27
60
52
80
61
33
51
80
266
30
267 76
268 43
(1M) Systolic Diastolic HDL
0
146
62
1
112
1
1
1
0
1
0
0
1
1
1
1
0
0
1
1
1
1
1
1
0
1
0
0
1
1
1
0
1
1
0
0
0
1
0
1
0
0
1
1
1
1
1
0
0
1
0
0
1
0
1
0
1
0
0
1
1
1
0
1
1
0
0
0
1
1
0
1
1
0
1
1
1
1
102
122
0
1
112
134
136
112
110
106
126
130
118
132
126
116
114
114
114
136
124
154
116
112
126
136
144
124
150
110
100
142
146
98
128
128
156
122
118
124
112
122
128
158
114
134
106
136
94
118
146
106
106
120
106
118
144
130
120
116
106
122
112
150
122
122
114
102
166
134
126
126
118
116
106
110
112
114
126
102
120
122
114
78
76
58
66
88
84
56
76
72
130
112
126
130
130
116
68
68
70
76
90
74
72
68
78
68
50
64
66
70
80
72
66
76
42
52
54
74
72
46
66
72
84
88
78
84
72
80
70
56
68
84
72
82
58
80
68
64
64
66
72
64
98
68
64
72
62
78
68
86
68
76
74
60
94
96
74
68
80
74
54
56
70
56
78
68
74
50
74
76
82
66
82
76
74
52 151
52
138
56
171
76
118
33 112
27
56
78
113
92
(M-11 Systelic diastolic HOL LDL weight light
BMI
0
112
68
48
126
89.9 169.1
31.4
1
178.4
28.0
102
96
89.1
105.1 149.5
0
47.0
1
39 149
36.2
1
34 61
47 86
116.0 179.1
74.7 165.3 27.3
101.8 162.8 38.4
83 104.8 162.0
0
1
41
39.9
1
55
52
178.7
20.3
64.9
92 84.5 165.1
0
69
31.0
1
34 115
79.0 180.1
24.4
29
64
24.4
1
74.2
66.9
1
54 107
57
57
75.3
0
67
87
85
126
117
43 138
High+
LDL
162.6
66
162
43
51
weight
65.6
108.8
69.1
55
94
43
66
73.0
67.6
140.1
91.3
44
54
48
78 130 127.5
49
76 85.0
86.2
72.8
73.1
81.7
99.8
180.5
97.9
171.5
90.4
167.0
115.5
156.5
89.2 179.8
63 158 48.5
37
53
66
65
47
71
53
34
85
65 128
59
80
48 108
31 129
37 121 64.6
41
134 91.5
59
39 87.1
30
175
95.8
90 145
46.3
156.5
39
81 63.9 170.5
55
72.2 158.4
80
58 151
167.6
169.7
166.6
186.3
144.4
124 109.1
176.6
129 77.8
171.1
172 93.3
150.6
70 68.5 160.3
70
56.7
70.5 176.8
62
124
159.4 22.3
22.6
162.5 52.6
54
106
138.9
98 118
90.6
28.4
51
113
72.8
33.3
58
60.8 164.4
22.5
83
48 193 116.2 170.4 40.0
43
52 75.2 174.3 24.8
48 143
31
99
64
81.3 177.2 25.9
91.4 174.4 30.1
79.1 177.1 25.2
63
68 84
83.6 166.1 30.3
68.8
98 97.5
72
49
63
142
38
73
61 113
36
50
124
46
73.1 169.3
183.7
165.7
170.0
165.6
157.0
169.8
161.4
167.7
180.0
177.0
100.4
103.7
56.7
61.7
168.2
185.7
108.3
61.0
172.6
181.1
178.7
147.9
BMI
24.8
32.2
25.2
174.4
169.0
164.0
165.2
25.3
24.7
56.8
31.7
33.1
25.9
22.6
26.1
30.6
33.3
32.4
47.2
27.6
25.5
22.8
26.5
29.2
29.2
18.9
22.0
28.8
24.5
33.9
45.9
24.5
23.3
35.0
26.6
23.6
41
43
29.8
56 80
52.6 162.9 19.8
40 128
163.1
173.2
92.5
82.6
62.2
34.8
27.5
186
119
163.3 23.3
76 103.6
68
62.1
185.1 30.2
162.9 23.4
174.8 28.9
166.1 26.0
153 88.4
61
71.7
155
124 75.6
153 94.5 172.0
173.2 25.2
46
31.9
50
176
92.2
174.4
30.3
57 127
182.8
17.0
56.8
158 125.7 169.8 43.6
127
179.4 31.2
180.3 31.9
156.1
23.3
168.0
21.9
163.0
40.8
178.2 19.2
181.1
31.8
147.2
41.1
26.7
64.5
174.4
90.7
23.4
28.0
42
192 104.4
48
157 56.5
26.1
38
125 96.2
32.4
172.2
31 71 98.7
169.8 34.2
53 166 101.3 176.1 32.7
43 150 115.3 193.3 30.9
61
173
67.4 159.9 26.4
57
50
58.4 164.5 21.6
63
77
56 147 60.1
83.2 183.6 24.7
153.3 25.6
37 75 84.8 165.4 31.0
ID# AGE
269
270
271
272
273
274
275 46
276
74
277
45
34
AGE Gender
70
75
278
279 53
280
48
281
282
283
284
285
286
287
288
51
29
33
80
48
64
80
18
289
33
290 51
291
292
293
22
30
21
46
294
295
296
299
300
18
49
67
18
42
24
297 50
298 53
34
31
(1=M) Systolic diastoli
0
160
40
0
144
0
118
1
1
0
0
0
1
0
1
1
1
1
1
1
1
0
0
1
1
0
1
0
1
0
0
1
0
1
0
1
138
120
108
114
106
140
120
142
120
108
114
112
112
102
108
142
106
104
134
106
164
136
100
130
96
132
132
104
104
72
56
82
54
68
80
64
84
74
98
6.8
68
68
70
46
56
64
66
50
68
56
44
96
82
72
64
62
84
74
54
70
HDL LDL weight Hight BMI
38
79
90.5
165.4
33.1
115
60.4
23.0
102
84.5
30.3
163
96.2
33.2
105
65.3
127
57.7
69.6
48
42
42
58
64
63
118
132
101
69 133.3
202
116
90.3
89.2
84.8
127 65.3
143
48
137
100.2
75.5
53 87
79.1
67.8
91
43
37
26
77
49
71
30 89
64
97
84
52
53
53
40
67.3
72.6
123 55.4
65 54.1
77
39 62
52 70
62 60
43 102
42 69
42 112
118 96.8
48 70,5
71.6
124
126 78.4
44 103
112
64
161.9
166.9
170.1
175.7
155.6
168.6
177.3
162.8
171.1
173.7
169.4
181.9
171.4
183.6
163.1
144.2
168.7
187.2
156.3
172.8
163.4
110.2 169.1
71.4 162.5
62.0 175.6
56.3 162.7
103.2 146.7
102.6
96.1
56.4
190.3
161.9
21.2
23.8
24.5
21.4
27.4
45.5
29.9
31.1
25.6
22.2
27.7
28.8
23.5
25.5
26.6
19.0
27.6
28.9
24.0
29.4
38.5
27.0
20.1
21.3
48.0
181.0 31.3
162.2 36.5
165.4 20.6
Transcribed Image Text: ID#
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
GENDER
AGE (1=M) SYSTOLIC DIASTOLIC HDL
43
0
100
70
73
57
112
70
35
38
134
94
80
64
68
60
64
81
82
83
84
85
86
87
88
34
77
29
69
44
35
79
72
18
65
37
29
30
44
51
50
63
23
66
65
46
70
59
31
35
40
55
22
51
26
62
74
43
56
54
20
80
18
30
78
55
18
40
39
21
39
68
51
18
35
44
18
20
45
51
63
37
80
80
18
62
41
Gender
JO# AGC (L-M)
44
63
0
45
64
0
46
0
47
1
48
0
49
0
50
51
52
59
36
80
33
60
38
55
68
21
32
27
62
24
37
1
0
1
19
69
46
80
41
27
1
1
1
0
0
1
1
0
1
1
0
0
1
0
0
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
0
1
0
0
0
1
1
0
0
0
0
1
0
0
0
1
0
1
0
0
1
1
1
1
0
0
1
0
1
1
0
0
0
0
1
1
1
1
0
1
0
0
0
0
0
0
1
0
126
114
134
118
138
114
124
138
110
116
134
100
92
124
100
106
158
132
116
122
132
138
128
134
112
122
134
106
104
158
94
144
128
120
112
100
116
162
110
122
120
136
106
124
114
136
108
136
112
120
136
112
122
120
142
120
110
108
142
112
80
66
70
58
72
40
66
80
58
160
102
118
66
50
72
82
74
54
88
76
68
52
90
60
72
78
62
66
88
56
84
80
70
62
70
72
80
48
64
76
76
74
72
60
60
68
54
64
68
86
60
64
68
78
56
Systolic diastolic HOL
130
88
44
130
70
112
66
154
102
92
68
108
70
128
60
124
78
108
82
132
74
120
90
120
62
126
72
128
84
106
70
110
76
146
90
128
156
114
96
122
84
78
82
56
62
78
84
76
66
60
64
72
36
37
50
55
53
40
45
62
54
41
55
64
110
92
53 102
45 79
BMI
LDL WEIGHT HEIGHT
68 98.6
116 96.9
172.0
33.3
186.0
28.0
223 108.2 1544 45.4
83 73.1
104
75
83.1
86.5
64.1
166.7
128
178.5
140 79.2 155.7
136
64.2
118.8
71.3
98.2
122.7
100 75.3
51.8
76.1
30
89.5
59
75.9
67
67.1
53 102 86.9
43 88
91.1
58 138 96.4
49 81
81.4
51 123 86.3
62 140 54.4
41
47
94
124
47
119
129
38 200 72.3
45 123 78.5
53 90
52 98
70.9
60.5
75.9
42 164
74
140 55.6
64
85 46.9
32 156
93.5
52
56 50.4
87 168
42
51
62
62
58
50
34
38
90 87.8
94
69.8
150
57.8
152
73.5
65
57.8
99
59.5
132
81.3
137
88.3
160.5 28.4
179.0
25.9
102 weight
190
72.7
66.5
32.7
157.6 25.8
36.5
25.8
180.4
166.3
168.6
34.5
181.1 37.4
170.0
26.1
164.0
159.5
180.8
155.4
178.8
174.7
171.9
175.9
155.6
179.8
149.0
182.9
169.3
155.6
156.8
161.6
154.8
155.5
155.0
31.1
20.1
154.9
86.8 161.5
166.2
160.0
163.6
164.7
170.2
155.0 24.8
87
98
53 164
85.9
48
91
77
85
35
37
102.6
39.0
73 105.3 169.5
155 94.7
42 113 144.9
36 95
95 113
98
71
62
97
68
19.3
29.9
27.4
31.4
21.0
28.5
30.8
31.2
33.6
26.7
24.5
21.6
27.4
29.3
24.6
29.1
23.2
19.4
38.9
21.0
33.3
31.8
27.3
21.6
27.1
20.0
178.4 25.5
176.7 28.3
56
74
46
65 158 704 171.5
height BMI
154.6 30.4
159.5
26.1
167.1
30.8
174.9 33.5
156.8 15.9
36.7
29.8
178.2
183.1 43.2
170.9 31.8
92.8
45.2
150.4
71.5
84.1
112.8 174.6 37.0
151.6 19.7
159.7
158.4
59.0
28.5
172.9 28.1
100
40 122
66
76
173.6
74.0
24.6
78
64.0
140
160.1
25.0
45 112 92.8 164.8 34.2
47
85.9
112
172.1 29.0
52 121 105.5
45.0
153.2
123.9 184.3 36.5
47
182.0
58 76.5
23.1
65 120 43.3
134.5 23.9
47
87 71.7
188.4 20.2
43 79 90.0 174.3 29.6
57 71
63 133 70.6 168.5 24.9
169.1 40.2
63 119 114.9
97 251 64.8 180.3 19.9
34 69 76.6 172.2 25,8
45 111 89.1 160.2 34,7
86 95 58.5 157.8 23.5
49 85 57.2
166.3 20.7
63 63 93.7 189.7 26.0
57 135 81.4 158.4 32.4
146 95.6 177.8 30.2
140 107.4 178.5 33.7
63
58
39 86 74.6 178.7 23.4
26 122 106.0
180.0 32.7
62 144 84.4 177.5 26.8
148
86.5
152.4
69 59.6 181.3
65
37.2
18.1
164.1
96
143
29.4
160.6
26.5
79.1
68.4
63.4 172.6
85.7 167.7 30.5
182
75
21.3
23.9
JD# AGL
89
80
90
91
92
93
94
95
96
97
98
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
JD #
134
135
136
137
138
139
140
141
142
99 58
100 18
101
46
102
45
103
27
104
63
105 69
106
107
107
108
109
110
143
144
145
146
147
148
149
41
68
154
155
62
35
156
157
24
42
158
159
160
161
162
163
64
28
33
60
57
41
61
46
41
65
63
30
64
66
60
19
54
24
57
74
65
18
32
26
29
67
36
63
23
45
39
65
47
66
60
57
46
150 69
Gige
35
53
59
37
57
25
151 76
152 27
153
25
63
75
66
36
29
38
34
31
64
23
19
29
33
54
42
164
165
41
166 51
167 68
168 32
169
70
170
51
171
45
172
61
173
76
45
47
174
175
176
27
177 22
178
60
Gender
(1M) Systolic diastolic Hol 202 weight height BMIT
0
130
62 104
158.8 20.0
0
61
98
29.4
50.4
72.1
77.2
156.5
180
99
0
31.1
140
68
157.6
44
108
72
69.9
25.2
166.4
22.8
46 126
120
106
104
126
120
128
63.7
90.2
76 83.3
88.6
121
99.4
123
85 84.6
127.8
118
84 88.3
153 94.6
114
128
128
138
119.8
116
167
146
78.8
98 81.0
84
99
84.4
53.5
74.1
83
53
155
91.7
31
116
89.8
77.5
46 142
39
143
66.2
69.1
67
93
49
40
1
1
1
0
0
1
0
1
1
1
1
1
0
1
0
1
0
1
1
0
1
1
1
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
1
0
1
1
0
1
1
1
1
0
0
0
0
1
1
0
0
1
0
0
0
1
1
1
1
1
1
1
0
0
0
0
1
0
1
1
0
0
112
114
120
186
138
118
168
116
142
126
138
0
0
0
140
136
114
114
118
134
100
154
130
132
122
120
104
120
140
88
132
122
126
108
142
116
120
132
132
142
122
134
102
108
122
54
66
120
134
158
122
108
120
112
118
126
120
142
118
128
158
96
156
122
116
136
126
120
130
124
94
126
72
62
68
78
64
72
72
78
74
66
90
66
76
66
48
84
88
60
88
68
94
72
66
74
88
56
76
54
74
58
78
66
92
46
92
46
66
70
56
70
66
82
72
88
72
102
70
82
70
56
58
80
72
64
64
70
64
70
66
84
54
70
54
76
64
80
92
80
76
74
52
90
88
58
64
72
82
82
47
66
61
76
66
72
39
40
36
60
42
45
49
64
35
81
46
42
82
62
54
84
55
138
54
57
41
39
51
44
Gender
(144) Systolic diastolic HOL LOL weight Hight
BMI
0
126
70
54 121 90.2
159.6
35.4
104
66
62 97 48.3
18.7
130
74
110
88
160
94
160.9
61 148 87.8 163.3 32.9
54
64.8
180
169.1 22.7
65 127
28.8
95.1 181.7
117
47
77.2 152.0
33.4
44 158 80.3 178.5
43 94 99.5 168.5
106
64
134
88
25.2
124
35.0
38.6
112
46
134 110.5 169.1
83 118 83.9
26.6
43 159 86.2
30.9
89 136 81.8
25.6
37 115 69.6
65 162 62.4
135
156
104
68 77.2
178.6
167.9 24.7
159.4 24.6
105.8 162.2 40.2
28.7
24.1
78
64
83.8 170.9
44
63.6 162.5
43
24.8
176.3
167.5
49 90
17.9
50.3
48.0
72 84
42 113 89.7
160.3 18.7
181.4 27.3
35 114 132.1 173.8 43.7
43 160 92.0 157.5 37.1
165.6 22.9
51 98 62.7
44 121 85.5
169.3 29.8
106 80.7
161.8 30.8
26
56
82 81.5 183.5 24.2
57
125 68.1
168.5 24.0
62
113 56.7
160.6 22.0
147 73.1 171.9 24.7
105 95.3
171.2 32.5
116 67.6 166.2 24.5
146
78
36
65
126
137
80
113
91
116
52 138
44
52
87
171
78
61
189
142
83.0
98.9
91.5
59.7
65.3
78.7
143
187
109
90
64
126.4
66.6
66
131 126.0
64.6
71.7
103.9
64.0
94.8
78.2
65.8
79.8
167.1
174.2
169.7
155.0
178.6
170.6
56.8
61.5 153.3
175.1
164.7
154.8
161.2
183.0
165.8
83.0
63.4
169.0
156.4
166.4
162.8
175.5
167.5
155.1
162.4
164.5
170.7
170.4
166.1
159.0
172.5
148.7
170.0
173.5
173.1
31.6
185.1 35.0
170.5
27.1
160.1
31.6
29.6
21.9
26.8
34.6
29.2
27.6
27.5
26.2
30.7
33.9
165.6
166.6
168.9
171.8
160.0
180.4
164.6
29.7
28.9
36.9
31.2
29.1
44.2
29.3
177.5
166.9
31.5
21.6
25.8
26.4
25.7
26.2
21.5
29.4
34.6
24.4
37.7
24.2
45.9
23.3
25.1
35.2
25.0
29.1
28.9
40
66
54
100 52.1
154.1 21.9
59
63 88 87.4 167.6 31.1
55 81 55.2
19.8
52 126 89.7
166.9
156.6
36.6
26.8
42 120 80.3 173.2
53 81 90.3
37.3
155.6
53 98
30.5
89.9 171.7
68 111
22.9
67.0 170.9
37.8
49 122
162.9
100.4
56 146
168.8 33.4
95.3
42 72 97.0 157.4 39.2
63
ON
54.5 162.2 20.7
77
86 96
74.5 157.3 30.1
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