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Pleаse nоte thаt this questiоn cоnsists of six pаrts. Show all your work/explanation. Just giving the answer without adequate work/explanation may result in zero for the question. A company makes insulation shields for electrical wires using four different types of machines. The company wants to evaluate the variation in the inside diameter dimensions of the shields produced by the machines. A quality engineer at the company randomly selects shields produced by each of the machines and records the inside diameter of each shield (in millimeters). She wants to determine whether or not the mean inside diameter is the same for the four machines. Use the provided partial output to answer the following questions. Write down the null and alternative hypotheses for testing whether or not the mean inside diameter is the same for the four machines. Clearly define the parameters you use in the context of the problem. Compute the Error Degrees of Freedom missing in the ANOVA output. Compute the Treatment Mean Square missing in the ANOVA output. Compute the F-value missing in the ANOVA output. At 5% significant level, is there sufficient evidence to claim that the mean inside diameter is different for at least one of the four machines. Explain your answer. The output for Tukey pairwise comparisons is given below. Based on the output (i) Based on the grouping information output, is the mean inside diameter significantly different for machines B and C? Explain your answer. (ii) Based on Tukey simultaneous CIs, for which machines the mean inside diameter is significantly different from machine A? Explain your answer.