Asupervisor of a manufacturing plant is interested in relating the average number of defects produced per day to two factors: the operator working the machine and the machine itself. the supervisor randomly assigns each operator to use each machine for three days and records the number of defects produced per day. is there sufficient evidence to conclude that there is a significant difference among the average number of defects produced per day for the different operators? number of defects produced per day operator a operator b machine a 9 8 8 5 5 8 7 2 machine b 5 7 3 7 3 3 9 4 machine c 0 4 1 8 0 9 0 8 anova source of variation ss df ms machine 30.2500 2 15.1250 operator 22.0417 1 22.0417 interaction 80.5833 2 40.2917 within 85.7500 18 4.7639 total 218.6250 23 step 2 of 2: make the decision to reject or fail to reject the null hypothesis of equal average number of defects produced per day for the different operators and state the conclusion in terms of the original problem. be sure to test for interaction first. use α=0.01.