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The Drama Department at a College Asked Professors and Students α=.05\alpha = .05

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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. Test the claim of no correlation between the rankings. Use α=.05\alpha = .05 .
 Actor 12345678 Professors 236108154 Students 43145796\begin{array}{l}\begin{array}{lcccccccc}\hline \text { Actor } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\hline \text { Professors } & 2 & 3 & 6 & 10 & 8 & 1 & 5 & 4\end{array}\\\text { Students } \quad 4 \quad 3 \quad 1 \quad 4 \quad 5 \quad 7 \quad 9 \quad 6\end{array}

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