An Ardent Fan of Television Game Shows Has Observed That

question 156

Essay

An ardent fan of television game shows has observed that, in general, the more educated the contestant, the less money he or she wins. To test her belief, she gathers data about the last eight winners of her favourite game show. She records their winnings in dollars and their years of education. The results are as follows. $$\begin{array} { | c | c | c | } \hline \text { Contestant } & \begin{array} { c } \text { Years of } \\\text { education }\end{array} & \text { Winnings } \\\hline 1 & 11 & 750 \\\hline 2 & 15 & 400 \\\hline 3 & 12 & 600 \\\hline 4 & 16 & 350 \\\hline 5 & 11 & 800 \\\hline 6 & 16 & 300 \\\hline 7 & 13 & 650 \\\hline 8 & 14 & 400 \\\hline\end{array}$$ Conduct a test of the population coefficient of correlation to determine at the 5% significance level whether a linear relationship exists between TV game show contestants' years of education and their winnings.

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Definitions:

Kindliness and Justice

A concept that combines compassion and fairness in interpersonal or social dealings.

Henry Fayol

An alternate spelling for Henri Fayol, renowned for pioneering theories on organizational structure and management.

Equity

The concept of fairness and justice within the context of finance, employment, and law, ensuring equal treatment for all.

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Individuals who have made significant foundational contributions in their field of expertise.