The Management of Regional Hospital Has Made Substantial Improvements in Their

question 1

Short Answer

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.
$\begin{array}{lcc}&\text { After }&\text { Before }\\\text { Sample size } & 45 & 58 \\\text { Mean in days) } & 4.6 & 4.9 \\\text { Standard Deviation } \sigma \text { ) } & 0.5 & 0.6\end{array}$
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.

---

Definitions:

Operational Control

The process of monitoring and managing day-to-day operations of a business to ensure that organizational goals are met.

Displaced Workers

Individuals who have lost their jobs due to economic changes, technological advancements, or other external factors beyond their control.

Service Risk

The possibility of experiencing losses or failures when delivering or receiving services, due to variability in service quality, delivery, or customer satisfaction.

Proprietary Technology

Unique technology owned by a company, protected by patents or trade secrets, giving them a competitive advantage.