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 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.

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 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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