The following table represents a2^4-1 Half-Fraction test design:

A(- A (+) Row Sum B(-) B ( +) B(- B (+) C (+) D (+) 24 25 49 D (-) 22 16 38 C(-) D (+) 20 23 43 D(- 17 21 38 Column Sum 41 42 39 46 168 Determine Contrasts, SS, MSE, Fs, Fa, factor effects, and Acceptance or Rejection of the Null Hypothesis for Main factors A & B and Interaction CD. Test the Hypothesis Ho: A = B = CD =0 at a level of significance of 0.05 i.e. no significant difference in factor levels or interaction (show all work) Contrast = _ High's - _ Low's SumSq = (Contrast)2 (k is the difference between the number of factors and size of the fraction of the full 12" factorial design, r is the number of replicates) FacEff = Contrast k-1 Contrasts: A: B: C-D: Fill in answers here: Sum Mean Source D.F. Contrast Fs Factor Accept Ho Squares Squares Fo.05 Effect / Reject Ho Main Factors A B Interactions C-D Residual (SSE) 4 59