An Ardent Fan of Television Game Shows Has Observed That

question 86

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 10 years of education.

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Definitions:

Magical

Relating to, invoking, or possessing supernatural powers or qualities.

Proposition

A pronouncement that reveals a judgment or perspective.

Equivalent

Equal in value, amount, function, meaning, etc.

Word Order

The arrangement of words in a sentence to convey meaning, determined by the grammatical rules of a language.