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.

2000

Last Year

Sample mean

2,290

2,460

Sample size

18

18

Sample standard deviation

250

260

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 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.

True

False