In a Study of the Effectiveness of Physical Exercise on Weight

In a study of the effectiveness of physical exercise on weight loss, 20 people were randomly selected to participate in a program for 30 days. Use the Wilcoxon signed rank test to test the claim that exercise has no bearing on weight loss. Use α = .02. $\begin{array}{lllllllllll}\hline\text { Weight Before Program } \\\text { (in Pounds) } & 178 & 210 & 156 & 188 & 193 & 225 & 190 & 165 & 168 & 200\\\hline\text { Weight After Program } \\\text { (in Pounds) } &182&205&156&190&183&220&195&155&165&200\\ \hline\\\\\hline\text { Weight Before Program } \\\text { (in Pounds) } &186&172&166&184&225&145&208&214&148 & 174\\\hline\text { Weight After Program } \\\text { (in Pounds) } &180&173&165&186&240&138&203&203&142 & 170\\\hline \end{array}$