The following data are taken in a study involving measurements. An experiment was conducted using 3 three: factors A, B, and C, all fixed effects:(a) Perform tests of significance on all interactions at ? = 0.05 level.(b) Perform tests of significance on the main effects at the Q as 0.05 level.(c) Give an explanation of how a significant interaction has masked the effect of factor C.

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C1 Св C2 В. В. В В, В Ва В, В Вз B Ba B1 By B1 A 15.0 14.8 15.9 16.8 14.2 13.2 15.8 15.5 19.2 18.5 13.6 14.8 15.4 12.9 11.6 14.3 13.7 13.5 22.1 12.2 13.6 11., 13.0 10.1 13.0 12.6 11.1 Ад П.3 17.2 16.1 18.9 5.1 12.4 12.7 17.3 14.6 15.5 14.7 17.3 17.0 13.6 14.2 15.8 11.5 18.2 14.2 13.4 16.1 18.6 15.2 15.9 14.6 12.2 7.8