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An Ardent Fan of Television Game Shows Has Observed That

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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.  Contestant  Years of  education  Winnings 111750215400312600416350511800616300713650814400\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.


Definitions:

Bystander Effect

A social psychological phenomenon where individuals are less likely to offer help to a victim when other people are present, often due to the diffusion of responsibility.

Just-world Phenomenon

The belief that the world is fundamentally fair, leading people to rationalize an unjust situation as deserved by the victim.

Companionate

Relating to feelings of deep affection and long-term attachment, emphasizing emotional intimacy and commitment rather than passion.

Deindividuated

Refers to a psychological state where an individual in a group experiences a reduction in self-awareness and a decreased sense of personal responsibility, often leading to uninhibited behavior.

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