Q3 A researcher wish to compare four manufacturing methods on the breaking strengthof plastic. Four types of machines are used in this experiment. He believed thatmachines have an effect on the plastics breaking strength. However, each machinecan operate only three methods during the experiments on a given day. Table Q3shows the data of the experiment.Table Q3: Four manufacturing methods on the breaking strength of plasticManufacturing MethodsMachine21A=73C=73D=752A=74B=75C=753B=67C=68D=724A=71В-72D=75What is the name of the design? Write an appropriate statistical modelthen list the assumptions and identify the terms.(a)(b)Is this design symmetric ? Justify your answer.State if the design balance or not. Discuss how to achieve balance in thisdesign ? Justify your answer.(c)(d)Test the hypothesis at a = 0.05 whether there is an effect of the fourmanufacturing methods on the breaking strength of plastics.

*Answer: *a This is an LSD design since we have two sources of blocking. The model is: Yijk = pi +…

hines have an effect on the plastics breaking strength. Hov operate only three methods during the experiments on a g vs the data of the experiment. Table Q3: Four manufacturing methods on the breaking Manufacturing Methods 2 Machine 1 1 A=73 C=73 2 A=74 B=75 3 B=67 C=68 4 A=71 B=72 What is the name of the design? Write an appropri= then list the assumptions and identify the terms. Is this design symmetric ? Justify your answer. State if the design balance or not. Discuss how to acE design ? Justify your answer. Test the hypothesis at a = 0.05 whether there is ar manufacturing methods on the breaking strength of pla