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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:

Scavenger Hunt

A game in which individuals or teams are tasked with gathering a list of specific items or completing designated tasks within a limited timeframe.

Icebreaker Activity

A facilitated activity or game designed to help individuals in a group introduce themselves and foster communication and familiarity among participants.

Characteristics

Features or qualities that distinguish an individual, group, or thing, making them identifiable or unique.

Family 4H Night

an event designed for families involved in the 4-H program, focusing on education, community building, and activities rooted in the program's core areas of agriculture, science, and civic engagement.

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