A Researcher Wishes to Determine Whether Physical Exercise Is Effective $\alpha = 0.02$

Essay

A researcher wishes to determine whether physical exercise is effective in helping people to lose weight. 20 people were randomly selected to participate in an exercise program for 30 days. Use the Wilcoxon signed rank test to test the claim that exercise has an effect on weight. Use $\alpha = 0.02$
$$\begin{array} { l l l l l l l } \hline{ \text { Weight Before Program } } & & & & & \\\text { (in Pounds) } & 178&210&156&188&193&225&190&165&168 & 200 \\\hline \begin{array} { l } \text { Weight After Program } \\\text { (in Pounds) }\end{array} & 182&205&156&190&183&220&195&155&165 & 200 \\\hline\\\hline{ \text { Weight Before Program } } & & & & & \\\text { (in Pounds) } &186&172&166&184&225&145&208&214&148& 174\\\hline\text { Weight After Program } \\\text { (in Pounds) } &180&173&165&186&240&138&203&203&142&170\\\hline \end{array}$$