In: Statistics and Probability
In a study of the effectiveness of certain exercises in weight reduction, a groupof 10 persons engaged in these exercises for one month and showed the following results:
weight before weight after
214 209
182 179
194 192
160 161
182 182
172 166
155 154
185 181
167 164
203 201
a) Use a hypothesis test with the 0.05 level of significance to judge whether the exercises are effective in weight reduction. In carrying out your test, be sure to state your null and alternative hypothesis, compute the test statistic and state your conclusions, both in terms of the hypotheses and in terms of the problem.
b) specify the assumption you used in part (a)
Let us denote the difference
d = weight before - weight after
There is sufficient evidence to support the claim that the exercises are effective in weight reduction.