The Drama Department at a College Asked Professors and Students $$\alpha$$

The drama department at a college asked professors and students in the drama department to rank 8 actors according to their performance. The data are listed below. A 10 is the highest ranking and a 1 the lowest
Ranking. Find the critical value to test the claim of no correlation between the rankings.
Use $$\alpha$$ = 0.05. $$\begin{array}{l}\begin{array} { l l l l c l l l l } \hline \text { Actor } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\hline \text { Professors } & 2 & 3 & 6 & 10 & 8 & 1 & 5 & 4\end{array}\\\begin{array} { l l l l l l l l l l } \text { Students } & 4 & 3 & 1 & 4 & 5 & 7 & 9 & 6\\\hline \end{array}\end{array}$$

A) 0.738
B) 0.643
C) 0.881
D) 0.833