Question: Variable description:

ExpLevel: Low (1) or High (2) experience level of operator

SpeedA: Number of nonconforming items for speed level A

SpeedB: Number of nonconforming items for speed level B

SpeedC: Number of nonconforming items for speed level C

SpeedD: Number of nonconforming items for speed level D

A quality engineer believes that there are two factors affecting the number of nonconforming items produced by a machine. The first factor is the experience level of the operator denoted by 1 and 2 for low and high experience, respectively. The variables SpeedA, SpeedB, SpeedC, and SpeedD are used to record the number of nonconforming items for four different machine speed levels. There are eight replicates for each of the factor level combinations.

a. Interpret the results of the two-way factorial experiment using a 5% significance level. How do you interpret the interaction term?

b. Which pairs of treatment means are significantly different? Use a significance level of 5%.

c. Provide an executive summary.