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The management of Regional Hospital has made substantial improvements in their h

ID: 2418107 • Letter: T

Question

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 from before and after the improvements. At 95% confidence, test to determine if there has been a significant reduction in the average length of stay.

a. State the Null and Alternative hypotheses

b. Find the Interval estimator

c. Compute the test stat

e. What is your conclusion and what do you conclude?

After Before Sample Size 45 58 Sample Mean (in days) 4.6 4.9 Standard Deviation 0.5 06

Explanation / Answer

a. Ho : uRFH - uGH >= 0

Ha : uRFH - uGH < 0

b. Interval is between -0.27 to 0.127

c. -2.77

d. p-value = 0.0056, Reject Ho, and conclude the lentgh of the stay at RFH is significantly less than GH

e. Since the range of the interval is from negative to positive, and so the stay before the improvements was longer.