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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. Medicare Spending per Patient (adjusted for age, sex, and race) statistic Sample mean Northern Region Southern Region $6,865 $3,602 Sample standard deviation Sample size 15 patients (a-1) Choose the appropriate hypotheses. Assume p is the average spending in the northern region and på is the average spending in the southern region. a. He: PN - Ps ≤0 versus H₁: PN-Ps >0 b. Hg. HN - Hs 20 versus H₁: PN-Ps <0 $4,327 $1,476 11 patients (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 null hypothesis if calc [ (b) Find the test statistic calc assuming unequal varlances. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) calc (c-1) Can we reject the null hypothesis? O No, fall to reject the null hypothesis. O Yes, reject the null hypothesis.

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. Medicare Spending per Patient (adjusted for age, sex, and race) statistic Sample mean Northern Region Southern Region $6,865 $3,602 Sample standard deviation Sample size 15 patients (a-1) Choose the appropriate hypotheses. Assume p is the average spending in the northern region and på is the average spending in the southern region. a. He: PN - Ps ≤0 versus H₁: PN-Ps >0 b. Hg. HN - Hs 20 versus H₁: PN-Ps <0 $4,327 $1,476 11 patients (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 null hypothesis if calc [ (b) Find the test statistic calc assuming unequal varlances. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) calc (c-1) Can we reject the null hypothesis? O No, fall to reject the null hypothesis. O Yes, reject the null hypothesis.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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. Medicare Spending per Patient (adjusted for age, sex, and race) statistic Northern Region Sample mean Southern Region Sample standard deviation Sample size a. He: HN - Hs ≤ 0 versus H₁: PN-Ps >0 b. Ha HN - Hs 20 versus H₁: PN-Ps <0 (a-1) Choose the appropriate hypotheses. Assume UN is the average spending in the northern region and us is the average spending in the southern region. a $4,327 $1,476 11 patients $6,865 $3,602 15 patients ka-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 null hypothesis if [calc calc (c-1) Can we reject the null hypothesis? (b) Find the test statistic calc assuming unequal variances. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) O No, fall to reject the null hypothesis. Yes, reject the null hypothesis.
Transcribed Image Text: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. Medicare Spending per Patient (adjusted for age, sex, and race) statistic Northern Region Sample mean Southern Region Sample standard deviation Sample size a. He: HN - Hs ≤ 0 versus H₁: PN-Ps >0 b. Ha HN - Hs 20 versus H₁: PN-Ps <0 (a-1) Choose the appropriate hypotheses. Assume UN is the average spending in the northern region and us is the average spending in the southern region. a $4,327 $1,476 11 patients $6,865 $3,602 15 patients ka-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 null hypothesis if [calc calc (c-1) Can we reject the null hypothesis? (b) Find the test statistic calc assuming unequal variances. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) O No, fall to reject the null hypothesis. Yes, reject the null hypothesis.
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