Suppose you were to use STATDISK to randomly generate three different samples of

Question

Suppose you were to use STATDISK to randomly generate three different samples of 500 values each. (Select Data, and then select Normal Generator.) For the first two samples, you would use a normal distribution with a mean of 100 and a standard deviation of 15. For the third sample, you would use a normal distribution with a mean of 105 and a standard deviation of 15.

We know that the three populations have different means, but we CANNOT use the methods of one-way ANOVA to conclude that the means are different.

Why not?

HINT - look at the requirements of ANOVA testing.

Explanation / Answer

This is because the variations as measured by standard deviations are equal in three groups and so sum of squares due to error SSE is zero

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