An Ardent Fan of Television Game Shows Has Observed That

question 206

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 coefficient of correlation 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:

Passive Problem Solving

An approach to resolving issues where individuals avoid direct confrontation or active attempts to change a situation, often hoping the problem resolves on its own.

Locus Of Control

A general expectation about whether the results of your actions are under your own control (internal locus) or beyond your control (external locus).

General Expectation

The anticipation or belief about what may happen in the future, based on past experiences or societal norms.

Psychoneuroimmunology

Psychoneuroimmunology is the interdisciplinary field that studies the interactions between the nervous system, the endocrine system, and the immune system, and how these interactions affect health and behavior.