The critical value for a one-tail hypothesis test when the population standard deviation is known, the sample size is 30 or more, and = 0.01 is ________.
A) 2.05
B) 2.33
C) 2.575
D) 2.96
Question 2
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 YearSample mean 2,290 2,460Sample size 18 18Sample standard deviation 250 260If Population 1 is defined as homes built in 2000 and Population 2 is defined as homes built last year, which one of the following statements is true?A) Because the 90 confidence interval does not include zero, HUD can conclude that the average size of a newly constructed house last year is not different from the average size of a newly constructed house in 2000.
B) Because the 90 confidence interval does not include zero, 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.
C) Because the 90 confidence interval includes zero, 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.
D) Because the 90 confidence interval includes zero, HUD can conclude that the average size of a newly constructed house last year is equal to the average size of a newly constructed house in 2000.
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