If a random sample of 16 homes south of a town has a mean selling price of $145,050 and a standard deviation of $4775, and a random sample of 26 homes north of a town has a mean selling price of $148,300 and a standard deviation of $5875, can you conclude that there is a significant difference between the selling price of homes in these two areas of the town at the 0.05 level? Assume normality.
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