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.

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

Quizplus · Accepted Answer

The Answer of 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.

The Management of Regional Hospital Has Made Substantial Improvements in Their