Perform the Indicated Wilcoxon Test $$\alpha = 0.05 \text {. }$$

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 random sample of nine students took the SAT test. and later on retook the test after taking a test preparation
course. Their scores are listed below. Use the Wilcoxon signed-rank test to test the claim that the test
preparation has no effect on their scores. Use $$\alpha = 0.05 \text {. }$$ $$\begin{array} { l c c c c c c c c c } \hline \text { Student } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\\hline \text { Before Score } &820 & 1180 & 840 & 1080 & 850 & 1010 & 1160 & 940 & 980 \\\text { After Score } & 840 & 1180 & 830 & 1120 & 880 & 1020 & 1150 & 980 & 1000 \\\hline\end{array}$$