: A company offering a weight-loss program claims the average participation will
ID: 3130595 • Letter: #
Question
: A company offering a weight-loss program claims the average participation will have lost 15 pounds upon completion of the program. The results below show the before and after weights of nine individuals who completed the program. Test at the 5% significance level whether the claim is correct
Person
Weight B4
Weight A
1
221
200
2
215
192
3
206
195
4
185
166
5
202
187
6
197
177
7
244
227
8
188
165
9
218
201
Person
Weight B4
Weight A
1
221
200
2
215
192
3
206
195
4
185
166
5
202
187
6
197
177
7
244
227
8
188
165
9
218
201
Explanation / Answer
we go for paired t-test and the calculation are as
t=d-/(s/sqrt(n) )=18.44/(3.909/3)=14.156
the critical value of t at 5% with 9 df=2.26
so at the 5% significance level whether the claim is correct
Person Weight B4 Weight A d=difference 1 221 200 21 2 215 192 23 3 206 195 11 4 185 166 19 5 202 187 15 6 197 177 20 7 244 227 17 8 188 165 23 9 218 201 17 mean=d- 18.44444444 s= 3.9086798Related Questions
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