Question: Consider the hypothesis test H 0 : 2 1 = 2 2 against H 1 : 2 1 2 2

Consider the hypothesis test H₀: σ²₁ = σ²₂ against H₁: σ²₁ ≠ σ²₂. Suppose that the sample sizes are n₁ = 15 and n₂ = 15, and the sample variances are s²₁ = 2.3 and s²₂ = 1.9. Use α = 0.05.

(a) Test the hypothesis and explain how the test could be conducted with a confidence interval on σ₁ / σ₂.

(b) What is the power of the test in part (a) if σ₁ is twice as large as σ₂?

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