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Use the Spearman Rank Correlation Coefficient to Determine Whether the Correlation

question 58

Essay

Use the Spearman rank correlation coefficient to determine whether the correlation between the given variables is
significant. Be sure to do the following: Identify the claim mathematically and state the null and alternative hypotheses.
Determine the critical value and find the test statistic. Decide whether to reject or fail to reject the null hypothesis and
interpret the decision in the context of the original claim.
-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 that there is no correlation between professorsʹ and studentsʹ rankings. Use α=0.05\alpha = 0.05 \text {. }  Actor 12345678 Professors 236108154 Students 43145796\begin{array}{l}\begin{array} { l c c c c c c c c } \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 } \text { Students } && 4 & 3 & 1 & 4 & 5 & 7 & 9 & 6 \\\hline\end{array}\end{array}

Interpret symbols of royalty and authority in Ottonian art.
Describe the function and architectural evolution of monastic complexes during the Ottonian period.
Analyze the influences and inspirations behind Ottonian and earlier medieval church designs.
Recognize the role of prestigious objects and texts in demonstrating social status and religious devotion in medieval Europe.

Definitions:

Rigid Stance

A firm or inflexible position or opinion on a particular subject, showing little to no willingness to change.

Opening Statement

The initial remarks of an argument, presentation, or legal trial, aimed at providing an overview or setting the context.

Presentation

A structured delivery of information to an audience, often involving visual aids or speeches to convey messages.

Virtual Presentation

A presentation made and delivered via digital platforms, often involving slides, videos, and live streaming.

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