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

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 $$\alpha = 0.02$$ $\begin{array}{l}\text { Weight Before Program }\\\text { (in Pounds) }&178&210&156&188&193&225&190&165&168&200 \\\hline \text { Weight After Program } \\\text { (in Pounds) }& 182&205&156&190&183&220&195&155&165&200\\\hline\\\hline \text { Weight Before Program } \\\text { (in Pounds) } &186&172&166&184&225&145&208&214&148&174\\\hline \text { Weight After Program } \\\text { (in Pounds) }&180&173&165&186&240&138&203&203&142&170\end{array}$

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Definitions:

Role Playing

The act of imitating the character and behavior of someone who is different from oneself, often as a learning tool or in gaming.

Dispositional Influences

Factors related to an individual's inherent qualities of mind and character that affect their behavior and thinking.

Situational Influences

External factors that can impact an individual's behavior and decision-making process, including the environment and others' behaviors.

Cognitive Dissonance

The emotional tension that arises in someone when they have two or more opposing beliefs, ideas, or values at the same moment.