The Scores of Twelve Students on the Midterm Exam and the Final

Essay

The scores of twelve students on the midterm exam and the final exam were as follows. $$\begin{array} { l c c } \hline \text { Student } & \text { Midterm } & \text { Final } \\\hline \text { Navarro } & 93 & 91 \\\text { Reaves } & 89 & 85 \\\text { Hurlburt } & 71 & 73 \\\text { Knuth } & 65 & 77 \\\text { Lengyel } & 62 & 67 \\\text { Mcmeekan } & 74 & 79 \\\text { Bolker } & 77 & 65 \\\text { Ammatto } & 87 & 83 \\\text { Pothakos } & 82 & 89 \\\text { Sul1 ivan } & 81 & 71 \\\text { Wahl } & 91 & 81 \\\text { Zurfluh } & 83 & 94 \\\hline\end{array}$$ Find the rank correlation coefficient and test the claim of no correlation between midterm score and final exam score. Use a significance level of 0.05.