Please help with Problem (see picture and data) SHOW THE R CODE AND OUTPUT! Thanks

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 cach state. The table below shows the data State 1 2 3 District District District B D E F 31 31 19 35 15 35 49 33 39 45 49 55 59 35 37 45 31 53 31 31 47 31 a) Identify the appropriate design in this case. Explain your selection. b) Write down the statistical model and state its assumptions. Conduct the appropriate analysis and test at 5% level. c) 3. To determine the optimum condition of his operating range for elasticity of a rubber material, an experimenter has run a Box-Behnken design on two factors; Temperature (xl) and Pressure (x2). The resulting model obtained is as below: yu59.80+5.33x + 1.73x2+4.20x249.53x3 +1.15x1x2 Find the location of the stationary point and calculate the predicted response at the stationary point. What type of surface has been found at the stationary point? 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 cach state. The table below shows the data State 1 2 3 District District District B D E F 31 31 19 35 15 35 49 33 39 45 49 55 59 35 37 45 31 53 31 31 47 31 a) Identify the appropriate design in this case. Explain your selection. b) Write down the statistical model and state its assumptions. Conduct the appropriate analysis and test at 5% level. c) 3. To determine the optimum condition of his operating range for elasticity of a rubber material, an experimenter has run a Box-Behnken design on two factors; Temperature (xl) and Pressure (x2). The resulting model obtained is as below: yu59.80+5.33x + 1.73x2+4.20x249.53x3 +1.15x1x2 Find the location of the stationary point and calculate the predicted response at the stationary point. What type of surface has been found at the stationary point