The following experiment was rnn to study main effects and all interactions. Four factors are used at two levels each. The experiment is replicated and two blocks are necessary in each replication. The data are presented here.(a) What effect is confounded with blocks in the first replication of the experiment? In the second replication(b) Conduct an appropriate analysis of variance showing tests on all main effects and interaction effects. Use a 0.05 level ofsignificance.

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Replicate 1 Replicate 2 Block 1 Block 2 Block 3 Block 4 a = 15.5 b = 14.8 c = 16.2 ad = 17.2 bd = 18.3 cd = 17.3 abc (1) = 18.7 ab = 18.6 ac = 18.5 = 18,7 (1) = 17.1 d = 16.8 ab = 16.4 a = 17.0 b= 17.1 c= 17,2 d = 17.6 abc = 17.5 abd = 18.3 acd= 18.4 bed= 18.3 %3D %3! ac = 17.2 6c = 16.8 abd = 18.1 acd= 19.1 ad bc = 18.9 bd = 17.0 cd = 18.7 abcd = 19.8 17.7 %3D bed = 18.4 abcd = 19.2 %3D