Please show all calculations, especially when constructing the ANOVA table (working out SSE, MSE, degrees of freedom, F, etc). Thank you

QUESTION 2 [36] A plant manager wanted to make a decision as to whether to purchase machine A or B. The decision criterion was the time a machine operated by a technician took to complete a certain task. Eight technicians were used in the experiment with each technician using both machines A and B in a randomized order. The times (in hours) taken by the machines to complete the task are shown in the table below. Machine Technician 32 30 40 39 42 42 26 23 O JOURUNH 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? (c) What are the experimental units in the experiment? (d) What is the response variable in the experiment? J NNNW (e) What is the "treatment" factor in the experiment? (f) Construct an ANOVA table of the data. Show all your calculations. (g) Was blocking effective? Explain your answer. 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)