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

question 40

Essay

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 $\text { Use } \alpha = 0.05$ $$\begin{array} { l r r r r r r r r } \hline \text { Actor } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\hline \text { Professors } & 2 & 3 & 6 & 10 & 8 & 1 & 5 & 4 \\\text { Students } & 4 & 3 & 1 & 4 & 5 & 7 & 9 & 6 \\\hline\end{array}$$

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Definitions:

Direct Labor

The labor costs directly traceable to the production of goods or services, such as wages paid to workers or machine operators.

Fixed Overhead

Overhead expenses that remain constant regardless of a company's level of production or sales.

Raw Material

Basic materials used in the production process that are transformed into finished goods through manufacturing.

Fixed Overhead

Costs that do not vary with the level of production or sales, including rent, salaries, and insurance, necessary for maintaining a business’s operations.