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Perform the Indicated Wilcoxon Test α=0.02\alpha = 0.02

question 47

Essay

Perform the indicated Wilcoxon test. Be sure to do the following: Identify the claim mathematically and state the null
and alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail to
reject the null hypothesis and interpret the decision in the context of the original claim.
-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
effect on weight loss. Use α=0.02\alpha = 0.02  Weight Before Program  (in Pounds) 178210156188193225190165168200 Weight After Program  (in Pounds) 182205156190183220195155165200 Weight Before Program  (in Pounds) 186172166184225145208214148174 Weight After Program  (in Pounds) 180173165186240138203203142170\begin{array}{l}\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\end{array}


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