#30
The management of Regional Hospital has made substantial
improvements in their hospital and would like to test and determine
whether there has been a significant decrease in the average length
of stay of their patients in their hospital. The following data has
been accumulated before and after the improvements. At the 5%
level, test to determine if there has been a significant reduction
in the average length of stay.
After
Before
Sample size
45
56
Mean (in days)
4.6
4.9
Standard Deviation (σ)
.5
.55
a.
Formulate the hypotheses.
b.
Compute the test statistic.
c.
Using the p-value approach, test to see if there
has been a significant reduction in the average length of stay.
Let α = .05.
d.
What does the test result mean in the context of this
problem?