The Table Below Shows the Weights (In Pounds) of 6

question 120

Essay

The table below shows the weights (in pounds) of 6 randomly selected women in each of three different age
groups. Use a 0.01 significance level to test the claim that the 3 age-groups have the same median weight. $$\begin{array} { c | r | r } 18 - 34 & 35 - 55 & 56 \text { and older } \\\hline 119 & 123 & 140 \\134 & 147 & 128 \\114 & 135 & 59 \\125 & 110 & 134 \\153 & 154 & 120 \\138 & 163 & 116\end{array}$$

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Definitions:

Population Regression Line

The line that best describes the relationship between an independent variable and a dependent variable for the entire population.

Population Coefficient

A parameter that quantifies a certain characteristic or attribute of a population.

Correlation

A statistical measurement of the relationship between two variables, indicating how one may predict the other.

Coefficient of Determination

Denoted as R-squared, it measures the proportion of the variance in the dependent variable that is predictable from the independent variable(s) in a regression model.