A professor recruited students from two large sections of an introductory health course to test the validity of the "Freshman 15" theory that students gain 15 pounds their first year. Although they were volunteers, they appeared to match the rest of the freshman class in terms of demographic variables such as sex and ethnicity. The students were weighed during the first week of the semester, then again 12 weeks later. Assume a = 0.05. Complete parts a and b below. Click the icon to view the data table of freshmen initial and terminal weights. Click here to view the table of critical values. a) Use a Wilcoxon signed-rank test to test whether these students' weights changed. State your hypotheses, check conditions, and complete the test (with technology). What are the hypotheses for this test? O A. Ho: The two samples are from the same distribution. HA: One distribution is shifted in location higher or lower than the other. O B. Ho: There is no change in the median weight over the course of the semester. HA: The median weight changes over the course of the semester. O C. Ho: The median weight changes over the course of the semester. HA: There is no change in the median weight over the course of the semester.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 3BGP
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A professor recruited students from two large sections of an introductory health course to test the validity
of the "Freshman 15" theory that students gain 15 pounds their first year. Although they were volunteers,
they appeared to match the rest of the freshman class in terms of demographic variables such as sex and
ethnicity. The students were weighed during the first week of the semester, then again 12 weeks later.
Assume a = 0.05. Complete parts a and b below.
Click the icon to view the data table of freshmen initial and terminal weights.
Click here to view the table of critical values.
a) Use a Wilcoxon signed-rank test to test whether these students' weights changed. State
your hypotheses, check conditions, and complete the test (with technology).
What are the hypotheses for this test?
O A. Ho: The two samples are from the same distribution.
HA: One distribution is shifted in location higher or lower than the other.
O B. Ho: There is no change in the median weight over the course of the semester.
HA: The median weight changes over the course of the semester.
O C. Ho: The median weight changes over the course of the semester.
HA: There is no change in the median weight over the course of the semester.
Transcribed Image Text:A professor recruited students from two large sections of an introductory health course to test the validity of the "Freshman 15" theory that students gain 15 pounds their first year. Although they were volunteers, they appeared to match the rest of the freshman class in terms of demographic variables such as sex and ethnicity. The students were weighed during the first week of the semester, then again 12 weeks later. Assume a = 0.05. Complete parts a and b below. Click the icon to view the data table of freshmen initial and terminal weights. Click here to view the table of critical values. a) Use a Wilcoxon signed-rank test to test whether these students' weights changed. State your hypotheses, check conditions, and complete the test (with technology). What are the hypotheses for this test? O A. Ho: The two samples are from the same distribution. HA: One distribution is shifted in location higher or lower than the other. O B. Ho: There is no change in the median weight over the course of the semester. HA: The median weight changes over the course of the semester. O C. Ho: The median weight changes over the course of the semester. HA: There is no change in the median weight over the course of the semester.
Data table of freshman weights.
Subject Initial Terminal Subject
Number Weight Weight Number
134
153
186
234567891011213015
165
157
134
161
114
137
141
127
192
177
197
200
187
165
127
161
132
123
144
136
192
185
207
Print
18
282242252225
Done
Initial
Weight
191
173
184
181
208
163
151
144
169
132
153
146
158
133
155
145
Full data set
Terminal
Weight
191
170
190
193
205
175
161
165
169
126
174
149
152
143
1
X
critical value table
One-tailed a
Two-tailed o
68 69 SE
1221227
0.05 0.025 0.01 | 0.005|
0.10 0.05 0.02 0.01
12468 4!
NAGS
02357
10
2 3 4 45 45 F 48 49 50
0.05
0.10
141
163
466
0.025
0.05
127
0.01
0.02
0.005
0.01
Transcribed Image Text:Data table of freshman weights. Subject Initial Terminal Subject Number Weight Weight Number 134 153 186 234567891011213015 165 157 134 161 114 137 141 127 192 177 197 200 187 165 127 161 132 123 144 136 192 185 207 Print 18 282242252225 Done Initial Weight 191 173 184 181 208 163 151 144 169 132 153 146 158 133 155 145 Full data set Terminal Weight 191 170 190 193 205 175 161 165 169 126 174 149 152 143 1 X critical value table One-tailed a Two-tailed o 68 69 SE 1221227 0.05 0.025 0.01 | 0.005| 0.10 0.05 0.02 0.01 12468 4! NAGS 02357 10 2 3 4 45 45 F 48 49 50 0.05 0.10 141 163 466 0.025 0.05 127 0.01 0.02 0.005 0.01
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