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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} Conduct a test of the population slope to determine at the 5% significance level whether a linear relationship exists between TV game show contestants' years of education and their winnings.

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Definitions:

Spin-off

A type of corporate restructuring where a company creates a new independent company by selling or distributing new shares of its existing business.

Lockup Transaction

Agreements restricting company insiders from selling their shares for a set period after an initial public offering to prevent a sudden oversupply of stock.

Synergies

Synergies are the additional value created by the combination of two companies, expected to result in cost savings or increased revenues beyond what the individual entities could achieve alone.

Economies of Scale

Cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output generally decreasing with increasing scale.

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