The following data are the selling prices, in thousands of dollars, of random samples of existing homes in three different regions of the United States. These data can also be found in the Excel file Midwest.xlsx.

Perform a hypothesis test using α = 0.05 to determine if there is a difference in the median selling price of existing homes in these three regions of the country.

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Midwest (S) Northeast () 261 169 128 153 179 235 175 210 255 410 South (S) 133 138 298 155