Perform the Indicated Wilcoxon Test $$\alpha =$$ 05

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 statistics teacher wanted to see whether there was a significant difference in age between day students and
night students. A random sample of 35 students from each group was selected. The data are given below. Use
the Wilcoxon rank sum test to test the claim that there is no difference in age between the two groups. Use $$\alpha =$$ .05. $\begin{array}{c}\text {Day Students}\\\begin{array} { l l l l l l l l l l l } 22 & 24 & 24 & 23 & 19 & 19 & 23 & 22 & 18 & 21 & 21 \\18 & 18 & 25 & 29 & 24 & 23 & 22 & 22 & 21 & 20 & 20 \\20 & 27 & 17 & 19 & 18 & 21 & 20 & 23 & 26 & 30 & 24 \\21 & 25 & & & & & & & & &\end{array}\end{array}$ $\begin{array}{c} \text {Evening Students}\\\begin{array} { l l l l l l l l l l l } 18 & 23 & 25 & 23 & 21 & 21 & 23 & 24 & 27 & 31 & 34 \\20 & 20 & 23 & 19 & 25 & 24 & 27 & 23 & 20 & 20 & 21 \\25 & 24 & 23 & 28 & 20 & 19 & 23 & 24 & 20 & 27 & 21\\29& 30\end{array}\end{array}$