Students take a math test before and after tutoring. The data for a random sample of students is given below. $$\begin{array} { c | c c c c c c c c c } \text { Before } & 54 & 72 & 63 & 82 & 51 & 80 & 63 & 36 & 44 \ \hline \text { After } & 68 & 70 & 67 & 78 & 55 & 83 & 63 & 52 & 40 \end{array}$$ Suppose that you want to use these data to perform a hypothesis test to determine whether the mean score before the tutoring is lower than the mean score after the tutoring. Conduct preliminary graphical data analyses to decide whether it is reasonable to apply the paired t-test and whether it is reasonable to apply the paired Wilcoxon signed-rank test or whether neither test is reasonable. If both tests are reasonable,which test would be preferable? Explain your thinking.

Question

Students take a math test before and after tutoring. The data for a random sample of students is given below. $$\begin{array} { c | c c c c c c c c c }  \text { Before } & 54 & 72 & 63 & 82 & 51 & 80 & 63 & 36 & 44 \ \hline \text { After } & 68 & 70 & 67 & 78 & 55 & 83 & 63 & 52 & 40 \end{array}$$ Suppose that you want to use these data to perform a hypothesis test to determine whether the mean score before the tutoring is lower than the mean score after the tutoring. Conduct preliminary graphical data analyses to decide whether it is reasonable to apply the paired t-test and whether it is reasonable to apply the paired Wilcoxon signed-rank test or whether neither test is reasonable. If both tests are reasonable,which test would be preferable? Explain your thinking.

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The Answer of Students take a math test before and after tutoring. The data for a random sample of students is given below. $$\begin{array} { c | c c c c c c c c c }  \text { Before } & 54 & 72 & 63 & 82 & 51 & 80 & 63 & 36 & 44 \ \hline \text { After } & 68 & 70 & 67 & 78 & 55 & 83 & 63 & 52 & 40 \end{array}$$ Suppose that you want to use these data to perform a hypothesis test to determine whether the mean score before the tutoring is lower than the mean score after the tutoring. Conduct preliminary graphical data analyses to decide whether it is reasonable to apply the paired t-test and whether it is reasonable to apply the paired Wilcoxon signed-rank test or whether neither test is reasonable. If both tests are reasonable,which test would be preferable? Explain your thinking.

Students Take a Math Test Before and After Tutoring Suppose That You Want to Use These Data to Perform