Health Insurers and the Federal Government Are Both Putting Pressure $\left[ \begin{array} { l l } 3.24 & 4.36\end{array} \right]$

Health insurers and the federal government are both putting pressure on hospitals to shorten the average length of stay (LOS) of their patients.In 1996,the average LOS for non-heart patients was 4.6 days.A random sample of 20 hospitals in one state had a mean LOS for non-heart patients in 2000 of 3.8 days and a standard deviation of 1.2 days.Calculate a 95 percent confidence interval for the population mean LOS for non-heart patients in the state's hospitals in 2000.

A) $\left[ \begin{array} { l l } 3.24 & 4.36\end{array} \right]$
B) $\left[ \begin{array} { l l } 3.67 & 3.93\end{array} \right]$
C) $\left[ \begin{array} { l l } 3.34 & 4.26\end{array} \right]$
D) $\left[ \begin{array} { l l } 3.38 & 4.22\end{array} \right]$
E) $\left[ \begin{array} { l l } 3.27 & 4.33\end{array} \right]$