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Use the Rank Correlation Coefficient to Test for a Correlation

Question 27

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Use the rank correlation coefficient to test for a correlation between the two variables.
-The scores of twelve students on the midterm exam and the final exam were as follows.  Student  Midterm  Final  Navarro 9391 Reaves 8985 Hurlburt 7173 Knuth 6577 Lengyel 6267 Mcmeekan 7479 Bolker 7765 Ammatto 8783 Pothakos 8289 Sul1 ivan 8171 Hahl 9181 Zurfiuh 8394\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 { Hahl } & 91 & 81 \\\text { Zurfiuh } & 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.

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