Question

1. An industrial engineer is investigating the effect of four assembly methods (1, 2, 3, 4) on the assembly time for a color television component. Four operators are selected for the study. To account for the operator source of variability, the engineer uses the Randomized Complete Block Design shown below. Analyze the data from this experiment ( = 0.05) draw appropriate conclusions.

   Assembly	Operator
   Method	A	B	C	D
   1	5	10	7	8
   2	7	10	12	8
   3	12	18	14	14
   4	10	11	11	9

2. 1. Do the assembly methods have the same mean time? Use a=0.05.
      1. State the hypotheses,
      2. What is the test statistic?
      3. What is the p-value?
      4. What is the decision?
      5. Make conclusions
   2. Could the experiment be run completely random?
   3. Suppose that assembly method 3 is currently used. Use Dunnett’s procedure to compare the means. Which assembly method would you recommend?
   4. Analyze the residual for the model in part a) and comment on the adequacy of the model. What would you recommend?
      1. State the hypotheses,
      2. What are the p-values?
      3. What are the decisions?
      4. Make conclusions.
   5. Based in your answer in part (d), conduct the appropriate transformation for the assembly time and make conclusions.
   6. Use Fisher’s LSD method to compare all pair of assembly time transformation means. What conclusions can you draw
   7. Conduct a nonparametric analysis for this experiment and draw conclusions.

Answer 1