Question: Suppose we wish to compare the length of stay in the hospital for patients at two different hospitals with the same diagnosis. Suppose the data was as follows:

Hospital 1: 21, 10, 32, 60, 8, 44, 29, 5, 13, 26, 33, 54, 45, 100

Hospital 2: 86, 27, 10, 68, 87, 76, 125, 60, 35, 73, 96, 44, 120.

Use the following output to conduct the appropriate test using α=0.05.

In addition to running the test, tell me why you choose the test you that you used – i.e. paired t-test, two independent sample assuming equal variances, two-independent sample not assuming equal variances, Wilcoxon Signed Rank test, or Wilcoxon Rank Sum test and why.