Question: Suppose that the administrator of a multi-institutional arrangement is interested in the average length of patient stay associated with four of the organization’s hospitals, represented by H1, H2, H3, and H4

Discuss the type of test statistic the administrator needs to use in order to determine any significant differences in the average length of patient stay in H1, H2, H3, and H4. In addition, identify the variable of interest and explain the reasoning for using the selected test statistic for hypothesis testing, formulate the hypothesis and state the assumptions for using the selected test statistic. Assume that the values of length of patient stay are normally distributed.