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please show your work [Q2262] In a research project, an experiment was carried out to find the best position of wafer position in 8 reactor

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[Q2262] In a research project, an experiment was carried out to find the best position of wafer position in 8 reactor for achieving uniform film thickness of nished computer chips. Three positions were selected and randomly assigned to totally 12 production runs. The results are as . follows. (You can use the above blank space & the below ANOVA table for your calculatxons.) Between Grous T 22. What is the grand mean? A. 19 B. 20 C. 21 D. 22 23. Which is nearest to SST (Sum of Squares of Treatment, not Total)? A. 104 B. 98 C. 174 D. 200 24. Which is nearest to SSE? A. 150 B. 80 C. 90 D. 100 25. Which is nearest to MSE (Mean Squares of Error)? A. 16 B. 9 C. 10 D. 11 26. Which is nearest to F-statistic for ANOVA? A. 5.9 B. 4.8 C. 3.8 D. 2.9 27. Which is nearest to Forit (Critical value of F) at the 5% significance level? A. 5.71 B. 5.46 C. 4.26 D. 4.10 28. Conclusion: We ( ) sufficient evidence about the difference in positions. A. have B. don't have C. cannot conclude29. What is the (absolute) mean difference between positions #1 and #3? A. 2 B. 5 C. 7 D. -7 30. What is nearest to Fisher's LSD between #1 and #3 at the 5% significance level? A. 5.3 B. 5.0 C. 4.8 D. 4.6 31. What is nearest to Tukey's w at the 5% significance level? (q.05 (2, 9) = 3.20, q.05 (3, 9) = 3.95) A. 4.0 B. 5.3 C. 5.7 D. 6.5 32. What is your conclusion about the difference between #1 and #3? A. They are significantly different in both Fisher's LSD and Tukey's w method. B. They are significantly different in Fisher's LSD, but not in Tukey's a method. C. They are significantly different in Tukey's w, but not in Fisher's LSD method. D. They are not significantly different in both Fisher's LSD and Tukey's a method

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