A process engineer is trying to improve the life of a cutting tool. He has run a 2³ experiment using cutting speed (A), metal hardness (B), and cutting angle (C) as the factors. The data from two replicates are shown in Table 13E.2. (1) Calculate the main effects of A, B, C, and all interaction effects. (2) Do any of the three factors affect tool life? Make an ANOVA table and draw conclusion from the F-values with α = 0.05. (3) What combination of factor levels produces the longest tool life? ■ TABLE 13E.2 Data for the Experiment in Exercise 13.2. Replicate Run I II (1) 221 311 a 325 435 b 354 348 ab 552 472 с 440 453 སྣ་ ནྟི 406 377 bc 605 500 abc 392 419

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A process engineer is trying to improve the life of a cutting tool. He has run a 2³ experiment
using cutting speed (A), metal hardness (B), and cutting angle (C) as the factors. The data
from two replicates are shown in Table 13E.2.
(1) Calculate the main effects of A, B, C, and all interaction effects.
(2) Do any of the three factors affect tool life? Make an ANOVA table and draw conclusion
from the F-values with α = 0.05.
(3) What combination of factor levels produces the longest tool life?
■ TABLE 13E.2
Data for the Experiment in Exercise 13.2.
Replicate
Run
I
II
(1)
221
311
a
325
435
b
354
348
ab
552
472
с
440
453
སྣ་ ནྟི
406
377
bc
605
500
abc
392
419
Transcribed Image Text:A process engineer is trying to improve the life of a cutting tool. He has run a 2³ experiment using cutting speed (A), metal hardness (B), and cutting angle (C) as the factors. The data from two replicates are shown in Table 13E.2. (1) Calculate the main effects of A, B, C, and all interaction effects. (2) Do any of the three factors affect tool life? Make an ANOVA table and draw conclusion from the F-values with α = 0.05. (3) What combination of factor levels produces the longest tool life? ■ TABLE 13E.2 Data for the Experiment in Exercise 13.2. Replicate Run I II (1) 221 311 a 325 435 b 354 348 ab 552 472 с 440 453 སྣ་ ནྟི 406 377 bc 605 500 abc 392 419
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