The numerator or MST degrees of freedom is 3 and the denominator or MSE degrees of freedom is 18. The total number of observations in the completely randomized design must equal 20.

Question

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The total degrees of freedom in a completely randomized design is equal to the total number of observations minus 1, which in this case would be 20-1=19. Therefore, there is a contradiction since the numerator and denominator degrees of freedom add up to 21, which is greater than the total number of observations.

The Numerator or MST Degrees of Freedom Is 3 and the Denominator