Question: Show that under the oneway ANOVA assumptions, for any set of constants a = (a1,..., ak), the quantity ai i. is normally distributed with mean

Show that under the oneway ANOVA assumptions, for any set of constants a = (a1,..., ak), the quantity ∑ai i. is normally distributed with mean ∑aiθi and variance σ2 ∑a2i / ni.

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