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The director for weight watchers International wants to determine if the changes in their program results in better weight loss. She selected 25 weight watcher members at random and compared their weight 6 months later to weight at start of the program. The result are in the excel file below:
Person
Before
After
1
176
164
2
192
191
3
185
176
4
177
176
5
196
185
6
178
169
7
196
196
8
181
172
9
158
158
10
201
193
11
191
185
12
193
189
13
176
175
14
212
210
15
177
173
16
183
180
17
210
204
18
198
192
19
157
152
20
213
200
21
161
161
22
177
166
23
210
203
24
192
186
25
178
170
(The weight in the column labeled “After” represents their weights size months later and “Before” represents their weight at the start of the six-month period). The director used .05 as the significance level.
Use Excel to test. For each paired difference, compute After-Before. In Data Analysis, t-test: Paired Two Sample for means, select the After data for variable 1 Range. Note that the critical value output b Data Analysis for this test is always positive. In this problem, the sign of the critical value is negative corresponding to a 1-tailed test with lower reject region and negative lower critical value.
What are Null and alternate Hypotheses?
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