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.
| | After | Before |
| Sample size | 45 | 58 |
| Mean (in days) | 4.6 | 4.9 |
| Standard Deviation (σ) | 0.5 | 0.6 |
| a. | Formulate the hypotheses. |
| b. | Compute the test statistic. |
| c. | Using the p-value approach, test to see if the average length of stay in RFH is significantly less than the average length of stay in GH. Let α = 0.05. |
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