Nine homes are chosen at random from real estate listings in two suburban neighborhoods, and the square footage of each home is noted in the following table. At the .10 level of significance, is there a difference between the average sizes of homes in the two neighborhoods? State your hypotheses and show all steps clearly.

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Size of Homes in Two Subdivisions Subdivision Greenwood 2,320 2,450 2,270 2,200 2,850 2,150 2,400 2,800 2,430 Square Footage Pinewood 2,850 2,560 2,300 2,100 2,750 2,450 2,550 2,750 3,150