A Professor of Economics Wants to Study the Relationship Between

question 191

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:

Silencers

Devices attached to or part of the barrel of firearms that reduce the noise, muzzle flash, and recoil when the gun is fired.

Transcription

The process of copying a segment of DNA into RNA, which can be used to produce proteins.

Transcription Factors

Proteins that bind to specific DNA sequences, thereby controlling the rate of transcription of genetic information from DNA to messenger RNA.

Gene Expression

The process by which information from a gene is used in the synthesis of a functional gene product, often proteins, which can affect the phenotype of the organism.