Question

Preliminary data analyses indicate that you can consider the assumptions for using nonpooled​ t-procedures satisfied. Researchers obtained the data shown in the table on the number of acute postoperative days in the hospital using the dynamic and static systems. At the 5​% significance​ level, do the data provide sufficient evidence to conclude that the mean number of acute postoperative days in the hospital is smaller with the dynamic system than with the static​ system?​(Note: x1 with bar over it =6.58​, s1 equals=2.02​, xs with bar over it =10.17​, and s2 3.87)

a.) What are the hypotheses for the non pooled​ t-test?

b.) What is the value of the test​ statistic?

t=

​(Round to three decimal places as​ needed.)

c.) Find the critical​ value(s).

​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)

d.) What is the conclusion of the hypothesis​ test?

_____ the null​ hypothesis, meaning that the data ______ sufficient evidence to conclude that the mean number of acute postoperative days in the hospital is smaller with the dynamic system than with the static system.

Dynamic
4
4
5
8
4
10
7  
8  
7  
6  
9  
7  

Statistic

7

7

8

9

14

16

Answer 1