(40%) 4. A process engineer is trying to improve the life of a cutting tool. He has run a factorial design using cutting
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(40%) 4. A process engineer is trying to improve the life of a cutting tool. He has run a factorial design using cutting
significant.
d) Perform the lack of fit test.
(40%) 4. A process engineer is trying to improve the life of a cutting tool. He has run a factorial design using cutting speed (A), metal hardness (B), and cutting angle (C) as the factors. The response values obtained are given in the Table. Replicate Row Row Run ! 11 Sum Average 390 420 810 405 610 500 1110 555 b 400 380 780 390 ab 440 450 890 445 C 550 470 1020 510 360 350 710 355 bc 330 440 770 385 abc 220 310 530 265 a ac a) State the type of design, the model and the underlying assumptions. How many experiments are carried out in total? b) Obtain the contrasts and estimate effects.