In Exercise D.37 we outline and discuss an ANOVA approach to test for a difference in average housing price between all four states using the dataset HomesForSale. Figure D.4 shows one of the samples, specifically for New York, and Table D.18 shows the mean and standard deviation for each of the four states. Are the conditions for ANOVA met? If not, what is the problem or problems?

Table D.18

Figure D.4

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Std.Dev. State Mean New York New Jersey Pennsylvania California 30 30 30 565.6 388.5 249.6 697.6 224.7 179.3 1112.3 30 715.1 1000 1500 2000 2500 3000 Price (NY) 500 0 6 12