An Ardent Fan of Television Game Shows Has Observed That

question 198

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.

---

Definitions:

Extended Families

Family groups that go beyond the nuclear family, including grandparents, aunts, uncles, and others.

Impulse Control

Impulse Control involves the ability to resist or delay an immediate urge or desire, playing a key role in emotional and behavioral regulation.

Preschool Behavior

Patterns of action or conduct exhibited by children attending preschool, typically involving aspects of learning, interaction, and development.

Permissive

Describes an attitude or policy characterized by freedom of behavior and willingness to allow or tolerate behaviors or activities which might be disapproved by others.