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A Researcher Believes That the Median Annual Rainfall in the Valley

question 53

Multiple Choice

A researcher believes that the median annual rainfall in the valley is about 32.032.0 inches. A randomly selected sample of 20 years had the following numbers of inches of rainfall in tl valley:
15.2,16.8,22.5,25.1,27.1,27.3,31.0,37.2,37.7,39.0,41.1,42.4,45.7,49.0,45,50.9,53.1,55.3,57.2,61.8\begin{array} { l } 15.2,16.8,22.5,25.1,27.1,27.3,31.0,37.2,37.7,39.0,41.1,42.4,45.7,49.0,45 \\, 50.9,53.1,55.3,57.2,61.8\end{array}
Test the researcher's hypothesis at α=0.05\alpha = 0.05 .
You may use the following abbreviated table of critical values for the sign test (two tailed α=0.05\alpha = 0.05 ) , taken from Table JJ in the text:
n1112131415161718 critical value 12233344n19202122232425 critical value 4555666\begin{array}{l}\begin{array}{l|cccccccc}\mathbf{n} & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 \\\hline \text { critical value } & 1 & 2 & 2 & 3 & 3 & 3 & 4 & 4\end{array}\\\\\begin{array}{l|ccccccc}\mathbf{n} & \mathbf{1 9} & \mathbf{2 0} & \mathbf{2 1} & \mathbf{2 2} & \mathbf{2 3} & \mathbf{2 4} & \mathbf{2 5} \\\hline \text { critical value } & 4 & 5 & 5 & 5 & 6 & 6 & 6\end{array}\end{array}

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Definitions:

Performance Evaluation

The process of assessing the effectiveness, efficiency, and achievements of an employee, department, or organization against predetermined benchmarks or objectives.

Operating Departments

Specific areas within a business that are responsible for certain operations related to the production of goods or delivery of services.

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Expenses that change in proportion to the production or sales levels, including labor and materials.

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