2. A study to examine the use of emergency services was performed. Of interest was variation among states and variation among districts within a state. Three states were selected and four hospitals (that is, replicates) were chosen from each of two randomly selected districts from each state. The table below shows the data State 2 District District District A B C D E F 31 43 31 19 35 15 55 19 33 39 45 49 59 37 35 37 45 31 31 31 47 31 Identify the appropriate design in this case. Explain your selection. b) Write down the statistical model and state its assumptions. c) Conduct the appropriate analysis and test at a=5% level