Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-The history department at a college asked its professors and students to rank 8 guest speakers according to their communication skills. The data are listed below. A 10 is the highest ranking and a 1 the lowest ranking. Find the critical values to test the hypothesis of no correlation between the rankings. Use $\alpha = 0.05$ .
$\begin{array}{lcccccccc}\hline \text { Speaker } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\hline \text { Professors } & 2 & 3 & 6 & 10 & 8 & 1 & 5 & 4 \\\text { Students } & 4 & 3 & 1 & 4 & 5 & 7 & 9 & 6\end{array}$

A) $\pm 0.738$
B) $\pm 0.643$
C) $\pm 0.881$
D) $\pm 0.833$