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)StatisticNorthern RegionSouthern RegionSample mean$3,123 $8,456 Sample standard deviation$1,546 $3,678 Sample size 14patients 16patients (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 tcalc < . (b) Find the test statistic tcalc assuming unequal variances. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) tcalc

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Description: 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 sp

Solution: Given information: n1= 14 Sample size of Northern region n2= 16 Sample size of Southern…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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	Southern Region
Sample mean	$	3,123		$	8,456
Sample standard deviation	$	1,546		$	3,678
Sample size		14	patients		16	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 t_calc < .

(b) Find the test statistic t_calc assuming unequal variances. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.)

t_calc

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