Several new methods of casting are being investigated in a foundry. There are four methods that will be compared. In the experiment, a heat [or melt] of metal is prepared and then used (in a random order) with each of the 4 methods. Prior experience suggests that the heats differ considerably so that it was important to have each of the treatments represented in each heat. Five heats were used. The data is summarized below: Quality Assessment of Castings Answer the following: {a} Explain what the appropriate design is for this experiment and why. {b} Provide an analysis ofthis design. (c) Determine whether the quality differs among the casting methods. Use the 5% level of significance. {e} If quality differs among methods. determine which methodls} provide the highes mean quality. Use the 5% level of significance