2. (25) The quality control department of a fabric finishing plant is studying the effect of several factors on the dyeing of cotton-synthetic cloth used to manufacture men's shirts. Three cycle times, and two temperatures were selected, and three small specimens of cloth were dyed under each set of conditions by a set of three randomly selected operators. The finished cloth was compared to a standard, and a numerical score was assigned. The results follow. Temperature 300 350 Operator Operator Cycle Time 2 3 2 3 23 27 31 24 38 34 40 24 28 32 23 36 36 25 26 29 28 35 39 34 33 34 34 50 35 38 34 39 38 36 36 39 35 35 36 31 28 35 26 26 36 28 60 24 35 27 29 37 26 27 34 25 25 34 24 a. (8) Fit a model suitable for this experiment b. (5) Check if your model is adequate c. (7) See if you can simplify the model from point (a) d. (5) Calculate the percent of variability associated with each random source of variability. Which is the largest source of variability? 9 795 656