The following table shows the selling price of a random sample of residential homes, in thousands of dollars, at three beach communities in New Jersey. The homes are categorized by the real estate firm that is listing the home. These data can also be found in the Excel file beach.xlsx.

a. Using α = 0.05 and the real estate firm as a blocking factor, test to see if a difference exists in the average selling prices of homes in the three communities.

b. If warranted, determine which pairs of communities are different using α = 0.05.

c. Verify your results with Excel or PHStat.

d. Was the blocking factor effective? Why or why not?

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Real Estate Firm Prudential Re/Max Diller Fox Century 211500 Stone Avalon ($) Harbor () City ($) Sea Isle 550 625 775 900 700 840 1,070 1,350 1,600 500 500 620 1,100 800