We are interested in studying whether there is a difference in the time it takes for patients to recover after surgery for two given hospitals. A simple random sample of cardiac surgery patients were taken from each hospital. The results were summarized in the table below. It shows the hospital one attended (Hospital A vs Hospital B), and the average length of stay (measured in days) for patients after cardiac surgery.

Hospital A: n = 30 average length of stay in days = 16 sample standard deviation = 4

Hospital B: n = 35 average length of stay in days = 12 sample standard deviation = 3

Combined Hospital A+B: n = 65 average length of stay in days = 14 sample standard deviation = 3.7

Make sure to:

1. State the null and alternative hypothesis

2. Set alpha

3.Compute the Test Statistic

4. Determine p-value

5. Conclude (Select either: Reject the Null OR Fail to Reject the Null)