Medicare spending per patient in different U.S. metropolitan areas may differ. Based on the sample data...

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Medicare spending per patient in different U.S. 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 significantly less than the average spending in the southern region at the 1 percent level. Hedicare Spending per Patient (adjusted for age, sex, and race) Southern Region Statistic Sample mean Sample standard deviation Sample size Northern Region $ 3,123 $1,546 14 patients $8,456 $ 3,678 16 patients (0-1) Choose the appropriate hypotheses. Assume uy is the average spending in the northern region and ug is the average spending in the southern region. a. Hi thu - Us s0 versus H: - Hs >0 b. Hg: H- Hs 20 versus H: P - Hs <0 O a (a-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.) Reject the nul hypothesis if teale (b) Find the test stätistic teole assuming unequal variances. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) tcale (c-1) State your conclusion. We can southern region, conclude that the average spending in the northern reglon is significantly less than the average spending in the (c-2) is this a strong conclusion? • Yes O No Medicare spending per patient in different U.S. 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 significantly less than the average spending in the southern region at the 1 percent level. Hedicare Spending per Patient (adjusted for age, sex, and race) Southern Region Statistic Sample mean Sample standard deviation Sample size Northern Region $ 3,123 $1,546 14 patients $8,456 $ 3,678 16 patients (0-1) Choose the appropriate hypotheses. Assume uy is the average spending in the northern region and ug is the average spending in the southern region. a. Hi thu - Us s0 versus H: - Hs >0 b. Hg: H- Hs 20 versus H: P - Hs <0 O a (a-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.) Reject the nul hypothesis if teale (b) Find the test stätistic teole assuming unequal variances. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) tcale (c-1) State your conclusion. We can southern region, conclude that the average spending in the northern reglon is significantly less than the average spending in the (c-2) is this a strong conclusion? • Yes O No