TABLE 13E.2 Data for the Experiment in Exercise 13.2 Replicate Run 221 325 354 5
ID: 3063621 • Letter: T
Question
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 ab ac bc abc 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 (a) Do any of the three factors affect tool life? (b) What combination of factor levels produces the 13.4. 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 tableExplanation / Answer
In order to see the statistical significance of the variates "Cutting Speed", "Metal hardness" and "Cutting Angle" on life of cutting tool, we have clear cut results in the anova table.
(a) Metal hardness p-value is <0.05 (0.483), it means it is not statistically showing any significance on life of cutting tool. Cutting speed and Cutting angle both affect the life of cutting tool as we have p-values for both these variates significant (<0.05)
(b) (Cutting speed * Cutting angle) is the only combination which shows a significant interaction with p-value<0.05. Other remaining interactions are statistically insignificant.
(c) Yes, regardless of metal hardness, Cutting speed and Cutting angle combination gives good results for life of cutting tool. Any combination with metal hardness variate shows statistical insignificance like
Metal hardness* Cutting speed p-value=0.662 (not significant)
Metal hardness* Cutting angle p-value=0.357 (not significant)
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.