Refer to Section 6 4 1 When Y is N( i , 2 ), consider the comparison of ( 1 , , 1 ) based on independent samples at the I categories of X When approximately i x i , explain why the t or F test of H 0 0 is more powerful than the one way ANOVA F test Describe a pattern for i for which the ANOVA test would be more powerful

Question: Refer to Section 6.4.1. When Y is N( i , 2 ), consider the comparison of ( 1 ,...., 1 ) based on independent

Refer to Section 6.4.1. When Y is N(µ_i, σ²), consider the comparison of (µ₁,....,µ₁) based on independent samples at the I categories of X. When approximately µ_i = α + βx_i, explain why the t or F test of H₀: β = 0 is more powerful than the one-way ANOVA F test. Describe a pattern for {µ_i} for which the ANOVA test would be more powerful.

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