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5. A DOE data set showed in the table below (fixed effects): Material type Application method Method 1 Method 2 4.3, 4.5, 4.0 5.6, 5.4, 4.9 5.4. 5.6, 4.9 6.3, 5.8, 6.1 W N 3.8, 3.7, 4.0 5.0, 5.0, 5.5 Note: index defined as y123 = 4.9; y323 = 5.5 a) Following the notation we used in the textbook, find y12. (y sub 1, 2, dot), y2.1 (y sub 2, dot, 1), y.22 (y sub dot, 2, 2); y2.2 (y sub 2, dot, 2 - bar), y.21 (y sub dot, 2, 1 - bar) in this experiment. b) Fill the missing values in the ANOVA table below: (a = 0.05) Source of Variation SS DOF Mean Squares Fo Fa, v, u Factor A 4.58 ? ? ? ? Factor B 4.91 Interaction 0.24 Error ? Total c) Find residuals: e123, e321, e222, e322. d) Your brief conclusions on this experiment