You may need to use the appropriate appendix table or technology to answer this 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 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 46 58 Mean (in days) 4.7 5 Standard Deviation (?) 0.4 0.6 A) Formulate the hypotheses. *H0: ?A − ?B ≤ 0 Ha: ?A − ?B > 0 *H0: ?A − ?B = 0 Ha: ?A − ?B ≠ 0 *H0: ?A − ?B ≥ 0 Ha: ?A − ?B < 0 *H0: ?A − ?B ≠ 0 Ha: ?A − ?B = 0 *H0: ?A − ?B > 0 Ha: ?A − ?B = 0 B) Compute the test statistic. (Use After − Before. Round your answer to three decimal places.) C) Using the p-value approach, test to see if there has been a significant reduction in the average length of stay. Let ? = 0.05. *Do not reject H0. We cannot conclude that the length of stay has been reduced. *Reject H0. We cannot conclude that the length of stay has been reduced. *Reject H0. We can conclude that the length of stay has been reduced. *Do not reject H0. We can conclude that the length of stay has been reduced.
You may need to use the appropriate appendix table or technology to answer this 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 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 | |
|---|---|---|
| 46 | 58 | |
| Mean (in days) |
4.7 | 5 |
| Standard Deviation (?) | 0.4 | 0.6 |
A) Formulate the hypotheses.
*H0: ?A − ?B ≤ 0
Ha: ?A − ?B > 0
*H0: ?A − ?B = 0
Ha: ?A − ?B ≠ 0
*H0: ?A − ?B ≥ 0
Ha: ?A − ?B < 0
*H0: ?A − ?B ≠ 0
Ha: ?A − ?B = 0
*H0: ?A − ?B > 0
Ha: ?A − ?B = 0
B) Compute the test statistic. (Use After − Before. Round your answer to three decimal places.)
C) Using the p-value approach, test to see if there has been a significant reduction in the average length of stay. Let ? = 0.05.
*Do not reject H0. We cannot conclude that the length of stay has been reduced.
*Reject H0. We cannot conclude that the length of stay has been reduced.
*Reject H0. We can conclude that the length of stay has been reduced.
*Do not reject H0. We can conclude that the length of stay has been reduced.
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