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Help please! TABLE 13E.2 Data for the Experiment in Exercise 13.2 Replicate Run

ID: 2936430 • Letter: H

Question

Help please!

TABLE 13E.2 Data for the Experiment in Exercise 13.2 Replicate Run 221 325 354 552 440 406 605 392 311 435 348 472 453 377 500 419 ac bc abc 13.4. A process engineer is trying to improve the life of a cutting tool. He has run a 2 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 (a) Do any of the three factors affect tool life? (b) What combination of factor levels produces the longest tool life? (c) Is there a combination of cutting speed and cut- ting angle that always gives good results regard- less of metal hardness? Use Minitab for 13.4 Create an ANOVA table 13E.2 is for Problem 13.4

Explanation / Answer

Factorial Regression: response versus A, B, C

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
Model 7 114888 16412.5 6.66 0.008
Linear 3 50317 16772.3 6.81 0.014
A 1 1332 1332.3 0.54 0.483
B 1 28392 28392.3 11.53 0.009
C 1 20592 20592.3 8.36 0.020
2-Way Interactions 3 59741 19913.6 8.09 0.008
A*B 1 506 506.3 0.21 0.662
A*C 1 56882 56882.2 23.10 0.001
B*C 1 2352 2352.3 0.96 0.357
3-Way Interactions 1 4830 4830.2 1.96 0.199
A*B*C 1 4830 4830.2 1.96 0.199
Error 8 19700 2462.5
Total 15 134588