An Ardent Fan of Television Game Shows Has Observed That

question 125

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. $$\begin{array} { | c | c | c | } \hline \text { Contestant } & \begin{array} { c } \text { Years of } \\\text { education }\end{array} & \text { Winnings } \\\hline 1 & 11 & 750 \\\hline 2 & 15 & 400 \\\hline 3 & 12 & 600 \\\hline 4 & 16 & 350 \\\hline 5 & 11 & 800 \\\hline 6 & 16 & 300 \\\hline 7 & 13 & 650 \\\hline 8 & 14 & 400 \\\hline\end{array}$$ 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:

Secondary Reserves

Assets that are easily convertible into cash but are not held in the form of cash itself, serving as a backup for primary reserves in financial institutions.

Borrow From The Fed

The act of financial institutions taking loans from the Federal Reserve, usually to maintain reserve requirements or to stabilize liquidity.

Fiscal Policy

Government policies regarding taxation and spending designed to influence economic conditions, such as growth rates, inflation, and employment.

Monetary Policy

Actions undertaken by a central bank, such as the Federal Reserve, to control the money supply and interest rates to achieve macroeconomic objectives like controlling inflation.