Question 1005 The management of Recover Fast Hospital RFH cl

{Question 10.05}

The management of Recover Fast Hospital (RFH) claims that the average length of stay in their hospital after a major surgery is less than the average length of stay at General Hospital (GH). The following data have been accumulated to test their claim.

Solution

H0: mu1=mu2

Ha: mu1>mu2

Right tailed test

Significance level =95%

z for 95% CI= 1.96
declare p larger than alpha=0.05 not significant.

mean1 eq: 4.6 (variance= 0.25) (se= 0.0745)
mean2 eq: 4.9 (variance= 0.36) (se= 0.0788)

Probability that var1<var2

p=0.8949 (left: 0.1051; double: 0.2102)

Difference between means:

M1-M2=4.6-4.9=-0.3
sd=1.087; se=0.1085
95% CI of difference:
-0.5126 <-0.3< -0.0874
t-difference: -2.766
df-t: 100; p= 0.00344
As p value <alpha reject null hypothesis

mu1 > mu2 is statistically evident.