An Ardent Fan of Television Game Shows Has Observed That

question 202

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. $$\begin{array} { | c | c | c | } \hline \text { Contestant } & \begin{array} { c } \text { Years of } \\\text { education }\end{array} & \text { Winnings } \\\hline 1 & 11 & 750 \\\hline 2 & 15 & 400 \\\hline 3 & 12 & 600 \\\hline 4 & 16 & 350 \\\hline 5 & 11 & 800 \\\hline 6 & 16 & 300 \\\hline 7 & 13 & 650 \\\hline 8 & 14 & 400 \\\hline\end{array}$$ Predict with 95% confidence the winnings of a contestant who has 15 years of education.

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Definitions:

Inductive Reasoning

A method of reasoning in which a conclusion is reached based on the observation of specific instances or patterns.

Variable Theory

A conceptual framework that outlines how variables interact within a particular study or model.

Normative Economics

A branch of economics that expresses value judgments about economic fairness or what the outcome of the economy or goals of public policy ought to be.

Economic Behavior

The study of human actions in purchasing, selling, and managing resources, especially in response to economic stimuli or policies.