The data in the following table represent the number of days that a random sample of homes in four price ranges were on the market before being sold for three different competing real estate companies in a local area. You have been assigned to test the hypothesis that the average number of days that a home is on the market differs between these three real estate companies. It is believed that the selling price of the home could be an effective blocking factor for this test. These data can also be found in the Excel file housing market. xlsx.

a. Perform a randomized block ANOVA using α = 0.05 to test if a difference exists in the number of days a home is on the market between these three companies. Also, perform any other procedures that are necessary to complete this analysis.
b. If appropriate, perform a multiple comparison test to determine which main factor pairs are different using α = 0.05.
c. Verify your results with Excel.

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Company Centuy 2 e/Max Weichert Selling Price Under $300,000 $300,000 to 37 41 18 86 under $400,000 under $500,000 under $600,000 71 59 72 $400,000 to 46 63 $500,000 to 38 67