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[Solution] The following matrix presents the results of a two factor experiment with two levels of factor A, two levels of factor B and n=10 subjects in

Question: The following matrix presents the results of a two factor experiment with two levels of factor A, two levels of factor B and n=10 subjects in each treatment condition. Each value in the matrix is the mean score for the subjects in that treatment condition. Notice that one of the mean values is missing.

Factor B
B₁ B₂
A₁ 10 50
Factor A A₂ 40
  1. What value should be assigned to the missing mean so that the resulting data would show no main effect for factor A?
  2. What value should be assigned to the missing mean so that the data would show no interaction?

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