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The Management of Regional Hospital Has Made Substantial Improvements in Their

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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 4558 Mean in days) 4.64.9 Standard Deviation σ ) 0.50.6\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.

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