For the job shop of exercise four sets of input data were

Question

Question: For the job shop of Exercise four sets of input data were collected over four different 10-day periods, together with the average number of jobs in the shop (4) for each period. The input data were used to drive the simulation model for four runs of 10 days each, and model predictions of average number of jobs in the shop (Yi) were collected, with these results:

i          1         2        3       4

Z_{i        21.7      19.2       22.8     19.4}

Y_{i        24.6      21.1       19.7     24.9}

(a) Conduct a statistical test to check the consistency of system output and model output. Use the level of significance α = 0.05.

(b) If a difference of two jobs is viewed as important to detect, what sample size is required to guaran-tee a probability of at least 0.80 of detecting this difference if it indeed exists? (Use α = 0.05.)