Given the following observations associated with a two-way classification with a = 3 and b = 4, compute the F-statistic used to test the equality of the column means (β₁ = β₂ = β₃ = β₄ = 0) and the equality of the row means (α₁ = α₂ = α₃ = 0), respectively.

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Row/Column 1 2 3 123 2 3 4 3.1 4.2 2.7 4.9 2.7 2.9 1.8 3.0 4.0 4.6 3.0 3.9