A firm conducted an experiment to compare the effectiveness of four different prede-
termined training programs for teaching workers to perform a certain manual task.
20 new employees were randomly assigned to the training programs, with 5 employees
in each program. At the end of the training period, a test was conducted to see how
quickly trainees can perform the task. The number of times the task was performed
per minute was recorded for each trainee, with the following results:
Programs
Program 1 Program 2 Program 3 Program 4
9 10 12 9
12 6 14 8
14 9 11 11
11 9 13 7
13 10 11 8
(a) (4 points) Write down an one-way effects model for this experiment, defining all
terms along with assumptions and constraints, if necessary.