A Class of 12 Statistics Students Completed the Course with the Following

Essay

A class of 12 statistics students completed the course with the following exam averages and homework averages.
$$\begin{array} { | c | c | c } \hline \text { Student } & \text { Exam Averages } & \text { Homewark Averages } \\\hline 1 & 70 & 76 \\\hline 2 & 79 & 83 \\\hline 3 & 65 & 66 \\\hline 4 & 85 & 72 \\\hline 5 & 89 & 77 \\\hline 6 & 87 & 86 \\\hline 7 & 95 & 88 \\\hline 8 & 88 & 91 \\\hline 9 & 77 & 87 \\\hline 10 & 67 & 79 \\\hline 11 & 90 & 93 \\\hline 12 & 96 & 89 \\\hline\end{array}$$ Calculate and interpret the Spearman coefficient of rank correlation and use the 0.05 level of significance in testing whether its true value could be something other than 0.