Question: 12.57. This exercise motivates the formula for the between-groups variance estimate in one-way ANOVA. Suppose the sample sizes all equal n and the population means

12.57. This exercise motivates the formula for the between-groups variance estimate in one-way ANOVA. Suppose the sample sizes all equal n and the population means all equaljx. The sampling distribution of each y(- then has mean /i, and variance

(r2

/n. The sample mean of the y,- values is y.

(a) Treatingy|,y25

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