Problem #10. The following MANOVA table has been produced from two factor experiment, where Factor 1 has 3 levels and Factor 2 have 4 levels. DF Source of variation Matrix of sum of squares and corss product (SSP) [496 1847 Factor 1 184 208 36 0 [24 36 Factor 2 (32 0 Interaction 6 0 44 Residual 12 Total (corrected) 23 [876 124 124 688 (a) How many observations are in this problem? Complete the MANOVA table. (b) Using the above MANOVA table, test for interactions, and if the interactions do not exist, test for factor 1 and factor 2 main effects. Use the likelihood ratio test with 1% LOS. (C) Which assumptions have you made to validate your test in part (b). c Problem #10. The following MANOVA table has been produced from two factor experiment, where Factor 1 has 3 levels and Factor 2 have 4 levels. DF Source of variation Matrix of sum of squares and corss product (SSP) [496 1847 Factor 1 184 208 36 0 [24 36 Factor 2 (32 0 Interaction 6 0 44 Residual 12 Total (corrected) 23 [876 124 124 688 (a) How many observations are in this problem? Complete the MANOVA table. (b) Using the above MANOVA table, test for interactions, and if the interactions do not exist, test for factor 1 and factor 2 main effects. Use the likelihood ratio test with 1% LOS. (C) Which assumptions have you made to validate your test in part (b). c