Comparing the Mean Hospital Stay in a Pennsylvania Hospital

We want to compare the mean hospital stay in a Pennsylvania hospital and the mean hospital stay in a typical U.S. hospital. It is unknown whether the stay in a Pennsylvania hospital is longer or shorter than a stay in a typical U.S. hospital.

Assume the duration of a hospital stay in the U.S. is normally distributed and the mean is 11.5 days. So, is the mean hospital stay in Pennsylvania different from the mean hospital stay in a typical U.S. hospital?

a)Let’s start by stating the null and alternative hypotheses. Also, what is your test statistic and why?

b)Continuing with the hospital data , what were your test statistics results

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