Find the Critical Value Find the Rank Correlation Coefficient and Test the Claim of and That

Essay

Find the critical value. Assume that the test is two-tailed and that n denotes the number of pairs of data.
-The scores of twelve students on the midterm exam and the final exam were as follows. $$\begin{array} { l c c } \hline \text { Student } & \text { Midterm } & \text { Final } \\\hline \text { Nauarro } & 93 & 91 \\\text { Reaves } & 89 & 85 \\\text { Hurlburt } & 71 & 73 \\\text { Knuth } & 65 & 77 \\\text { Lengye1 } & 62 & 67 \\\text { Mcmeekan } & 74 & 79 \\\text { Bolker } & 77 & 65 \\\text { Ammatto } & 87 & 83 \\\text { Pothakos } & 82 & 89 \\\text { Sul1 ivan } & 81 & 71 \\\text { Hahl } & 91 & 81 \\\text { Zurfluh } & 83 & 94 \\\hline\end{array}$$ Find the rank correlation coefficient and test the claim of correlation between midterm score and final exam
score. Use a significance level of 0.05.