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Engineers are studying the effect of temperature, batches, and operators on the

ID: 3356932 • Letter: E

Question

Engineers are studying the effect of temperature, batches, and operators on the processing time for a particular material. They decide to conduct a one-half fractional factorial experiment to investigate these factors The following data were collected for the experiment: Observations Totals Factor Codes Replicate 2 54 42 48 43 46 45 48 54 Replicate 1 50 Run 46 42 49 48 47 56 104 86 94 85 95 93 95 110 4 5 6 Select ] 1. What model should be used for this experiment? 2. How many generators are needed for this experiment? Select ] 3. If the identifying relationship is I-ABC, what is the generator for C? Select ]

Explanation / Answer

1) here we should use factorial model that has 3 treatment having 2 levels and 2 replicates.

2) Since here 3 factor having 2 levels so there are 23=8 level combinations these are

(1), a, b, ab, c, ac, bc, abc

3) in abc case all a b and c are present that having + sign on a b and c

And for c, a and b are absent that is only c has + sign and a b has - sign