Engineering homework help
Engineering homework help. (Round all intermediate calculations to at least 4 decimal places.)An entrepreneur owns some land that he wishes to develop. He identifies two development options: build condominiums or build apartment buildings. Accordingly, he reviews public records and derives the following summary measures concerning annual profitability based on a random sample of 32 for each such local business venture. For the analysis, he uses a historical (population) standard deviation of $22,800 for condominiums and $19,800 for apartment buildings. Use Table 1. Sample 1 represents condominiums and Sample 2 represents apartment buildings. Condominiums = – $243,500 n1-32Apartment Buildings = $235,200 n2 = 32 a.Set up the hypotheses to test whether the mean profitability differs between condominiums and apartment buildings. option 1.) H0: ?1 ? ?2 = 0; HA: ?1 ? ?2 ? 0option 2.) H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 < 0option 3) H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 > 0 b.Compute the value of the test statistic and the corresponding p-value. (Round “test statistic” value to 2 decimal places and “p-value” to 3 decimal places.)(solve) Test statistic ______ (solve) p-value ________c-1.At the 5% significance level, what is the conclusion to the test?Choose: (Do not reject or Reject) H0.At either the 5% significance levels, we (Can or Cannot) conclude the mean profitability differs between condominiums and apartment buildings.c-2.At the 10% significance level, what is the conclusion to the test? Choose: (Do not reject or Reject) H0.At either the 10% significance levels, (Can or Cannot) conclude the mean profitability differs between condominiums and apartment buildings.Answer all parts.