The quality control department of a fabric factory was studying the effect of two factors, i.e. operator and cycle time (in minutes), on the dyeing of a cloth used in manufacturing shirts. Three...

Extracted text: The quality control department of a fabric factory was studying the effect of two factors, i.e. operator and cycle time (in minutes), on the dyeing of a cloth used in manufacturing shirts. Three operators and four cycle times were selected. Two small specimens of cloths were dyed under each combination of cycle time and operator. The three operators were selected at random but only four cycle times were used in the experiment. The finished cloth was compared to a standard and a numerical score was given. The following results were obtained: Cycle Operator Time 1 2 3 40 17, 20 16, 21 24, 22 50 12, 9 18, 13 17, 12 60 16, 12 18, 21 25, 23 70 21, 17 23, 21 23, 22 Assume that all assumptions to perform an ANOVA test are satisfied. (a) State the model and its assumptions. (b) By using ANOVA, test for (i) the significance of interaction effects between cycle time and operator. Use a = 0.05. (ii) the significance of cycle time effects. Use a = 0.05. (iii) the significance of operator effects. Use a = 0.05.