A Professor of Statistics at Wayne State University in the US

question 8

Short Answer

A professor of statistics at Wayne State University in the US wants to determine whether the average starting salaries among graduates of the 15 universities in Michigan are equal. A sample of 25 recent graduates from each university is randomly taken. The appropriate critical value for the ANOVA test is obtained from the F-distribution with number so of degrees of freedom equal to: $\begin{array}{|l|l|}\hline \text { A. } & 15 \text { and } 25 . \\\hline \text { B. } & 14 \text { and } 360 . \\\hline \text { C. } & 360 \text { and } 14 . \\\hline \text { D. } & 25 \text { and } 15 . \\\hline\end{array}$

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Definitions:

Coefficient Of Determination

A measure, often represented as R^2, that indicates the proportion of the variance in the dependent variable predictable from the independent variable(s).

Linear Relationship

A relationship between two variables where the change in one variable is directly proportional to the change in another variable.

Error Variable

The error variable represents the component of randomness or unexplained variance in a statistical model, distinguishing between the observed and predicted values.

Probability Distribution

A mathematical procedure that assesses the likelihood of different experiment outcomes.