In an experiment conducted by the Mining Engineering Department at the Virginia Polytechnic Institute and State University to study a particular filtering system for coal, a coagulant was added to a solution in a tank containing e: oal and sludge, which was then placed in a recirculation system in order that the coal could be washed. Three factors were varied in the experimental process:

Factor A: percent solids circulated initially in the overflow

Factor B: flow rate of the polymer

Factor C: pH of the tank

The amount of solids in the underflow of the cleansing system determines how clean the coal has become. Two levels of each factor were used and two experimental runs were made for each of the 23 = 8 combinations. The responses, percent solids by weight, in the underflow of the circulation system are as specified in the following table assuming that all interactions are potentially important do a complete analysis of the data Use P-values in your conclusion.

100 95 90 Velocity 85 80 75 70 100 150 Temperature Response Combination Replication 1 Replication 2 Treatment 4.65 5.81 (1) 21.42 21.35 12.66 12.56 b. 16.62 18.27 ab 7.88 7.93 12.87 13.18 ac 6.26 17.83 6.51 bc 18.23 abc Shrinkags