A plant manager wanted to make a decision as to whether to purchase machine A or The decision criterion was the time a machine operated by a technician took to complete certain task. Eight technicians were used in the experiment with each technician using b machines A and B in a randomized order. The times (in hours) taken by the machines complete the task are shown in the table below. Machine Technician A B 32 30 40 39 42 42 26 23 35 36 29 27 45 41 22 21 (a) The design of the experiment is a RCBD. What is the blocking factor? Justify your answer. (3) (b) The design of the experiment is a MPD. Why? (3) (c) What are the experimental units in the experiment? (2) (d) What is the response variable in the experiment? (2) (e) What is the "treatment" factor in the experiment? (2 ) (f) Construct an ANOVA of the data. Show all your calculations. (12) (9) Was blocking effective? Use the 0.05 level of significance. (5) (h) Is there evidence that the mean completion times of the two machines are significantly different? Use the 0.05 level of significance. (5) (i) If your answer to part (h) is affirmative, which machine should the plant manager pur- chase? Justify your answer. (2)