1 A Watch Maker Wanted To Compare Four Robotic Milling Machines For Cut Roughness The Roughness Is Measured In Microns 1 (33.72 KiB) Viewed 21 times
1 A Watch Maker Wanted To Compare Four Robotic Milling Machines For Cut Roughness The Roughness Is Measured In Microns 2 (27.07 KiB) Viewed 21 times
1. A watch maker wanted to compare four robotic milling machines for cut roughness. The roughness is measured in microns (1/1000 of a mm). After milling a number of parts on each machine, he summarized the data in the following table. Mach 1 Mach 2 Mach 3 Mach 4 ny = 5 ny = 5 Tg = 6 11 = 11.5 14 = 6 = 8.9 Iy = 9.3 8 = 1.3 14 = 12.2 S2 = 1.5 83 = 1.0 Assume the roughness for Machine i follows a N(4.0) distribution, i = 1,2,3,4, and assume that j = 0 = 0 = 8 = 1.1 94 (a) Find the between groups variance, S. Show your work using clear notation (b) Find the within groups variance, Sw. Show your work using clear notation. (c) Test Ho: H = M = M = 4 vs H : not Ho at the a= 0.05 significance level using a 3-step one-way ANOVA test. Find the test statistic and critical value (use Matt's super sweet F-distribution web/phone app to find the critical value), plot the rejection region (be sure to label the distribution), and state your decision and final conclusion. Show your work using clear notation
the p-value. Show your work using clear notation (e) If we do Bonferroni pairwise comparisons, what significance level aº should each test use? Show your work using clear notation Perform the Bonferroni pairwise comparison Hu = Hy versus H. Ha Ha at the a significance level. You must state the test statistic and critical value (use the web/phone t-distribution app to find the critical value), plot the rejection region (be sure to label your graph), and state your decision and final conclusion. Also, use the web/phone t-distribution app to find the p-valuc. Show your tpork ssing clear notation. (s) Write out #, and H, for the remaining 5 Bonſeronni pairwise comparisitas
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