A Professor of Economics Wants to Study the Relationship Between

question 209

Essay

A professor of economics wants to study the relationship between income y (in $1000s) and education x (in years). A random sample of eight individuals is taken and the results are shown below. $$\begin{array} { | l | c | c | c | c | c | c | c | c | } \hline \text { Education } & 16 & 11 & 15 & 8 & 12 & 10 & 13 & 14 \\\hline \text { Income } & 58 & 40 & 55 & 35 & 43 & 41 & 52 & 49 \\\hline\end{array}$$ Assume that the conditions for the tests conducted in the previous two questions are not met. Do the data allow us to infer at the 5% significance level that years of education and income are linearly related?

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Definitions:

Decriminalization

The process of removing criminal sanctions against certain acts, typically related to minor offenses or activities considered no longer socially harmful.

Legalization

The process of making certain actions or substances permissible and regulated by law, which were previously illegal.

Consensus Crime

A type of crime that is universally agreed upon by society as being wrongful and deserving of punishment.

Consensus Crimes

Offenses that are universally considered to be socially harmful and morally unacceptable, leading to general agreement on their criminalization.