Preliminary data analyses indicate that you can consider the assumptions for usi
ID: 3364558 • Letter: P
Question
Preliminary data analyses indicate that you can consider the assumptions for using nonpooled t-proced on the number of acute postoperative days in the hospital using the dynamic and static systems. At the conclude that the mean number of acute postoperative days in the hospital is smaller with the dynamic (Note: x1-7.33, s1 1.92, x2 10.50, and s2 4.23) Click on the icon to view the data table What are the hypotheses for the nonpooled t-test? Data Table Find the test statistic t = (Round to three decimal places as needed.) Dynamic 5 9 5 5 10 5 7 7 8 9 9 9 Static 6 9 10 7 14 17Explanation / Answer
Solution:
The summary statistics for the two independent simple random samples from two populations are shown in the table:
Population 1 Population 2
Dynamic system Static system
x1 = 7.33 x2 = 10.50
s1 = 1.92 s2 = 4.23
n1 = 12 n2 = 6
The Hypothesis for the nonpooled t-test:
B. H0 : 1 = 2
H1 : 1 < 2
level of significance = 0.05
Test statistic:
t = x1 - x2 /sp sqrt[(1/n1)+(1/n2)]
where sp = sqrt[(n1-1)s1^2 +(n2-1) s2^2/n1+n2-2]
= sqrt[(12-1)(1.92^2)+ (6-1)(4.23)^2/12+6-2]
= 6.79
now t = x1 - x2 /sp sqrt[(1/n1)+(1/n2)]
= 7.33- 10.50/6.79* sqrt[(1/12)+ (1/6)]
= -0.93