Medicare spending per patient in different US. metropolitan areas may differ. Based on the sample data below, answer the questions that follow to determine whether the average spending in the northern region is signicantly less than the average spending in the southern region at the 1 percent level. Medicare Spending per Patient {adjusted for age, sex, and race) Statistic Northern Region Southern Region Sample mean $ 3,123 $ 3,456 Sample standard deviation $ 1,545 $ 3,673 Sample size 14 patients 16 patients [ ta-1) Choose the appropriate hypotheses. Assume pm is the average spending in the northern region and ,uS is the average spending in the southern region. a. He: ,UN Us 5 0 versus H1:,UN Us 3'0 b. H341" ,US 2 0 versus H1: p" ,us i 0 Ga b ta-2) Specify the decision rule. [Use the quick rule to determine degrees of freedom. Round your answer to 3 decimal places. A negative value should be indicated by a minus sign: Rejectthe null hypothesis if ital: *1 |:| . lb} Find the test statistic (cal: assuming unequal variances. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) (c-1] State your conclusion