The question is in the picture below, it is about 2 factorial design.

Question 16 [10 marks = 4+2+4] a. Consider a 23 experiment design with statistical model where 2 SB; = (TB) = E(TB); = 0. i=1 j-1 It is obvious that the null hypothesis Ho : (TB)11 = (TB)ol = (TB)10 = (TB)00 = 0 is rejected if (78) 11 =c / 0. Show that under this condition the null hypothesis Ho: (TB)11 - (TB)ol - (TB)10 + (TB)on = 0 is also rejected [4 marks]. b. Consider a 23 design and show that the effects of the interactions AB and BA are the same [2 marks]. c. Consider a 2" experiment design. Derive an expression for the effect of the interaction ABCD [4 marks]