(Solved): An entrepreneur owns some land that he wishes to develop. He identifies two development options: bu ...

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 annua! profitability based on a random sample of 35 for each such local business venture. For the analysis, he uses a historical (population) standard deviation of $\$21,800$ for condominiums and $\$19,600$ for apartment buildings. (You may find it useful to reference the appropriate table: ztable or (table) Sample 1 represents condominiums and Sample 2 represents apartment buildings. a. Set up the hypotheses to test whether the mean profitability differs between condominlums and apartment buildings. $H_0:{?}_1?{?}_2=0;H_A:{?}_1?{?}_2?=0$ $H_0:{?}_1?{?}_2?0:H_A:{?}_1?{?}_2<0$ $H_0:{?}_1?{?}_2?0:H_A:{?}_1?{?}_2>0$ b. Calculate the value of the test statistic. (Round final answer to 3 decimal places.)