The Department of Housing and Urban Development (HUD) would like to test the hypothesis that the average size of a newly constructed house last year is different from the average size of a newly constructed house in 2000. The following data summarizes the sample statistics for house sizes, in square feet, for both years. Assume that the population variances are equal.
If Population 1 is defined as homes built in 2000 and Population 2 is defined as homes built last year, and using
α = 0.10, the conclusion for this hypothesis test would be that because the absolute value of the test statistic is
▸ less than the absolute value of the critical value, HUD cannot conclude that the average size of a newly constructed house last year is different from the average size of a newly constructed house in 2000.
▸ less than the absolute value of the critical value, HUD can conclude that the average size of a newly constructed house last year is different from the average size of a newly constructed house in 2000.
▸ more than the absolute value of the critical value, HUD can conclude that the average size of a newly constructed house last year is different from the average size of a newly constructed house in 2000.
▸ more than the absolute value of the critical value, HUD cannot conclude that the average size of a newly constructed house last year is different from the average size of a newly constructed house in 2000.
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