Problem 2. (All Students answer All questions a j) point each question (5 points total)

In an industrial waste treatment plant, metals are precipitated by mixing lime in a tank to produce metal hydroxides. Use only two levels orthogonal arrays

Design an experiment to study the metal precipitation @ Five factors at two levels

2 lime flows [FLOW] (10, 20 L/m)

2 mixing speeds [SPEED] (20 or 25 rpm)

2 tank levels [LVL] (50% or 100%)

2 mixing Times [MIX] (10, 20 rpm)

2 Effluent Temperatures [TEMP] (ambient, 50F)

Select best fit/smallest orthogonal array experiments and show column assignments (in numbers) only:

1. Considering all interactions for the five factors at two levels:

Array _____ Factor Assignments: Flow______, Speed______, LVL______, MIX______, TEMP______

2. Considering only 2-way interactions only among the five factors and ignoring all other interactions:

Array _____ Factor Assignments: Flow______, Speed______, LVL______, MIX______, TEMP______

3. Ignore all interactions for the five factors at two levels:

Array _____ Factor Assignments: Flow______, Speed______, LVL______, MIX______, TEMP______

4. If you added one factor Tank Width, and you decided to have a saturated (screening) experiment for the six factors

Array ___ Factors: Flow____, Speed____, LVL____, MIX____TEMP ____Width ____

5. If you added one factor Tank Width, and you decided to have a half factorial expt. for the six factors

Array ___ Factors: Flow____, Speed____, LVL____, MIX____TEMP ____Width ____

6. If you added three factors: Tank Width, Height Depth and considering Flow to be the most important factor and all other seven factors interact to it, while ignoring all other interactions:

Array ___ Factors: Flow____, Speed____, LVL____, MIX____TEMP ____Width ____Height ____Depth____

7. Please insert the interactions for only one linear graph below, if your last digit is odd, complete the figure to the left, is your last digit is even complete the figure to the right