The dataset HomesFor- Sale has data on houses available for sale in three Mid-Atlantic states (NY, NJ, and PA). Table 6.4 (also used in Exercise 6.100) shows the mean and standard deviation from the three Mid- Atlantic states, in thousands of dollars. Use this table, the knowledge that within the US the average house sells for about 265 thousand dollars, and a 5% significance level to answer the following questions.

Table 6.4

(a) Is the average cost of a house in New York significantly greater than the US average?
(b) Is the average cost of a house in New Jersey significantly greater than the US average?
(c) Is the average cost of a house in Pennsylvania significantly greater than the US average?
(d) Which state shows the most evidence that the state average is greater than the US average?

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State Std. Dev. Mean New York 30 565.6 697.6 New Jersey 224.7 30 30 388.5 249.6 Pennsylvania 179.3