Find and interpret a 95% confidence interval for the mean price of a home in California.

Refer to the dataset Homes For Sale, which has data on houses available for sale in three Mid-Atlantic states (NY, NJ, and PA) as well as California (CA). Table 6.17 has summary statistics for each of the four states, with prices given in thousands of dollars. (Since n = 30, we ask you to use the t-distribution here despite the fact that the data are quite skewed. In practice, we might have enough concern about the skewness to choose to use bootstrap methods instead.)

Table 6.17

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Mean Std. Dev. State New York New Jersey Pennsylvania California 30 565.6 697.6 30 388.5 224.7 179.3 1112.3 30 249.6 715.1 30