An industrial engineer is investigating the effect of four assembly methods (A on the assembly time for a color television component. Four operators are se the study. Furthermore, the engineer knows that each assembly method prod fatigue that the time required for the last assembly may be greater than required for the first, regardless of the method. That is, a trend develops in the assembly time. To account for this source of variability, the engineer uses square design shown below. Order of Operator Assembly 1 2 3 C =10 D = 14 A =7 B = 8 B =7 C = 18 D=11 A = 8 A =5 B = 10 C=11 D=9 D = 10 A = 10 B = 12 C = 14 a. Develop hypothesis. b. Compute the of Sum of Squares (SS), Mean of Squares (MS) of data mathematical formulas. c. Develop ANOVA table and determine pooled standard deviation? d. Show mathematical model, row effects, treatment effects () , ; and e. Using the computed residuals in part (d), compute their standard dev compare that with the pooled standard deviation. Is there any differer f. Help engineer in choosing the best assembly method. (Hint: Check m central tendency and spread)An industrial engineer is investigating the effect of four assembly methods (A, B, C, D) on the assembly time for a color television component. Four operators are selected for the study. Furthermore, the engineer knows that each assembly method produces such fatigue that the time required for the last assembly may be greater than the time required for the first, regardless of the method. That is, a trend develops in the required assembly time. To account for this source of variability, the engineer uses the Latin square design shown below. Operator Order of Assembly 1 2 3 C = 10 D = 14 A =7 B = 8 B =7 C = 18 D= 11 A =8 A = 5 B = 10 C = 11 D=9 D = 10 A = 10 B = 12 C= 14 a. Develop hypothesis. b. Compute the of Sum of Squares (SS), Mean of Squares (MS) of data by using mathematical formulas. c. Develop ANOVA table and determine pooled standard deviation? d. Show mathematical model, row effects, treatment effects (t;) , B, and Eij? e. Using the computed residuals in part (d), compute their standard deviation and compare that with the pooled standard deviation. Is there any difference? f. Help engineer in choosing the best assembly method. (Hint: Check measure of central tendency and spread) g. Present the report in APA format