The Table Shows the Weights (In Pounds) and Monthly Incomes

question 97

Essay

The table shows the weights (in pounds) and monthly incomes (in dollars) of nine randomly selected women
between the ages of 18 and 65. Assume that the x-values are the weights and the y-values are the monthly
incomes.
Are the x $$\begin{array} { | l | c | c | c | c | c | c | c | c | c } \hline \text { Weight (lb) } & 113 & 132 & 155 & 122 & 166 & 140 & 118 & 129 & 185 \\\hline \text { Monthly Income (dollars) } & 1420 & 3650 & 5475 & 2310 & 4710 & 2910 & 1720 & 2460 & 4115 \\\hline\end{array}$$ -values matched with the corresponding y-values? That is, is each x-value associated with the
corresponding y-value in some meaningful way? If the x- and y-values are matched, does it make sense to use
the difference between each x-value and the y-value that is in the same column? Why or why not?

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Definitions:

Tukey Test

A statistical test used to compare the means of three or more groups to find which pairs of groups differ significantly.

Familywise Error

The probability of making one or more Type I errors across a set of statistical tests.

Critical Value

A point on the scale of the test statistic beyond which we reject the null hypothesis; it determines the cut-off point for significance in hypothesis testing.

Dunnett Test

A statistical test used to compare multiple groups against a single control group without increasing the type I error rate.