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Question 9 Given below is a two-factor factorial experiment and the ANOVA summary table. Source Degrees of freedom Sum of squares Mean square (variance) F

Question 9 Given below is a two-factor factorial experiment and the ANOVA summary table. Source Degrees of freedom Sum of squares Mean square (variance) F A r 1 = 2 SSA = 160 MSA = 80 FSTAT = 16 B c 1 = 4 SSB = 220 MSB = 55 FSTAT = 11 AB (r-1)(c-1) = 8 SSAB = 80 MSAB = 10 FSTAT = 2 Error rc(n 1) = 30 SSE = 150 MSE = 5 Total n 1 = 44 SST = 610 Determine: a. At the o.05 level of significance, is there an effect due to factor A? (2 Marks) b. At the 0.05 level of significance, is there an effect due to factor B? (2 Marks) c. At the 0.05 level of significance, is there an interaction effect? (2 Marks)

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