Question: A research study comparing three treatment conditions produced means of M ₁ = 2, M ₂ = 4, M ₃ = 6.

1. Compute the variance for the set of three means. (Treat the means as a sample of n = 3 values and compute the sample variance)
2. Now we will change the third mean from M ₃ = 6 to M ₃ = 15. Notice that we have substantially increased the differences among the three means. Compute the variance for the new set of n=3 means. You should find that the variance is much larger than the value

obtained in part a. Note: The variance provides a measure of the size of the mean differences.

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