Question

Preliminary data analyses indicate that you can consider the assumptions for using nonpooled​ t-procedures satisfied. Researchers obtained data on the number of acute postoperative days in the hospital using the dynamic and static systems. At the​ 10% 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?

Answer 1

Answer: hello some data is missing from your question attached below is the missing data

answer :

At 10% significance level ; critical value with the dynamic system = -1.3637

critical value with the static system = - 1.4759

hence the data provided is sufficient evidence that mean number of acute postoperative days in the hospital is smaller with the dynamic system

Explanation:

At 10% significance level ; critical value with the dynamic system = -1.3637

critical value with the static system = - 1.4759

hence the data provided is sufficient evidence

Given ∝ = 0.10

i) mean number of dynamic system = ( x1 ) = 7.08

s1 ( std of sample ) = 1.51

sample size = 12

df ( degree of freedom ) = n - 1 = 11

Hence critical value : t∝,11 = -1.3637 ( = T.INV(0.1,11)

ii) mean number of static system

( x2 ) = 11.33

s2 ( std of static sample ) = 3.83

sample size = 6

df( degree of freedom ) = n -1 = 5

critical value = t∝,5 = -1.4759 ( = T.INV(0.1,5) )