Perform the Indicated Wilcoxon Test $$\alpha = 0.05 .$$

question 56

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.
-A pharmaceutical company wishes to test a new drug with the expectation of lowering cholesterol levels. Ten
subjects are randomly selected and their cholesterol levels are recorded. The subjects were then placed on the
drug for a period of 6 months, after which their cholesterol levels were tested again. The results (in mg per
deciliter)are listed below. Use the Wilcoxon signed-rank test to test the companyʹs claim that the drug lowers
cholesterol levels. Use $$\alpha = 0.05 .$$ $$\begin{array} { l c c c c c c c c c c } \hline \text { Subject } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline \text { Before } & 216 & 239 & 228 & 244 & 251 & 227 & 231 & 260 & 241 & 270 \\\text { After } & 201 & 234 & 236 & 234 & 246 & 227 & 201 & 242 & 239 & 255 \\\hline\end{array}$$

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Definitions:

Field Experiment

A study that examines the impact of an intervention in the real world.

Real World

Refers to the actual physical world and situations as opposed to what is imagined or created in virtual or theoretical scenarios.

Grocery Store

A retail store that specializes in selling food and other household necessities.

Primary Research

The process of gathering new data directly through surveys, interviews, or experiments.