MATH 483/567 Design of Experiments

Problem 4 (8 pts) A 23 experiment was performed by an industrial engineer and the results are given in the following table. Half of the experiment was done on one day and the other half on the next day. Run Flasher Inertia of Task Average Response Randomized Order in Which no Type Lever - Time Experiments Were Performed 1 A Low Y 12 1 2 B Low 12 4 3 A High 10 5 4 B High Y 1 1 3 5 A Low Z 16 2 6 B Low 2 13 6 7 A High 15 7 8 B High 19 8 (a) (3 pts) Compute the main effect of asher type. (b) (5 pts) With the timing mechanism operating properly, the standard deviation of the readings of average response time is known to be about 1 (G = 1). Subsequent to carrying out this experiment, however, it was discovered that the timing device, although it had been operating properly on the rst day, had not been operating properly on the second day. On that second day, the standard deviation was 6 = 2. Given this information, what is the variance of the main effect of asher type computed in (a)