The Drama Department at a College Asked Professors and Students $\text { Use } \alpha = 0.05$

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. Calculate Spearman's rank correlation coefficient. Test the claim of no correlation between the rankings. Be sure to specify the null and alternative hypotheses $\text { Use } \alpha = 0.05$ $$\begin{array} { l r r r r r r r r } \hline \text { Actor } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\hline \text { Professors } & 2 & 3 & 6 & 10 & 8 & 1 & 5 & 4 \\\text { Students } & 4 & 3 & 1 & 4 & 5 & 7 & 9 & 6 \\\hline\end{array}$$