To Determine Whether or Not the Median Total Expenditure by Households

Essay

To determine whether or not the median total expenditure by households was the same for three states,an economist took three samples of five counties from the states of New Mexico,Colorado,and Utah.The data were: $$\begin{array} { | c | c | c | } \hline \text { New Me xico } & \text { Colorado } & \text { Utah } \\\hline 15207 & 16493 & 15276 \\13781 & 17599 & 12385 \\13884 & 13792 & 16237 \\13622 & 15151 & 12645 \\12657 & 13770 & 13627 \\\hline\end{array}$$ Test the hypotheses: H₀: m₁ = m₂ = m₃
H₁: Not all medians are the same.Use $\alpha$ = 0.025.
Test statistic = ____________________
Critical Value = ____________________
If necessary,separate your answers with commas,for example x,y,z,etc.
Conclusion: _____________________________________
Interpretation: _____________________________________________________