Suppose we wish to test for difference in population means among three groups. a. Explain why it

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Suppose we wish to test for difference in population means among three groups.

a. Explain why it is not sufficient to simply look at the differences among the sample means, without taking into account the variability within each group.

b. Describe what we mean by between-sample variability and within-sample variability.

c. Which statistics measure the concepts in (b).

d. Explain how analysis of variance would work in this situation.

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