An Ardent Fan of Television Game Shows Has Observed That

question 185

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:

Hazardous

Describes substances or conditions that pose a risk of causing harm to people, property, or the environment.

Tripping

The act of stumbling or falling caused by catching one's foot on something.

Bumping

A process in workforce management where more senior employees displace less senior ones from their positions, often in situations of layoffs or reductions in force.