The data on monthly rents, in dollars, for independent random samples of newly completed apartments in the four U.S. regions are presented in the following table.

a. Find and interpret a 95% confidence interval for the mean monthly rent of newly completed apartments in the Midwest.
b. Find and interpret a 95% confidence interval for the difference between the mean monthly rents of newly completed apartments in the Northeast and South.
c. What assumptions are you making in solving parts (a) and (b)?
Confidence Intervals in One-Way ANOVA. Assume that the conditions for one-way ANOVA are satisfied, and let s = ˆš MSE. Then we have the following confidence-interval formulas.
€¢ A (1 ˆ’ α)-level confidence interval for any particular population mean, say, μi, has endpoints

€¢ A (1 ˆ’ α)-level confidence interval for the difference between any two particular population means, say, μi and μj, has endpoints

In both formulas, df = n ˆ’ k, where, as usual, k denotes the number of populations and n denotes the total number of observations.

Northeast Midwst South West 891 1025 630 1012 861 1090 1005 898 948 1181 1244 870 748 699 814 1036 926 721 606 1269 -a2.sy(1/ni)+ (/nj).