Consider the hypothesis test H 0 2 1 2 2 against H 1 2 1 2 2 Suppose that the sample sizes are n 1 20 and n 2 8, and that s 2 1 4 5 and s 2 2 2 3 Use 0 01 Test the hypothesis and explain how the test could be conducted with a confidence interval on 1 2 ...

1 The parameters of interest are the standard deviations 2 1 2 2 2 H 0 2 1 2 2 3 H 1 ...

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

Question:

Consider the hypothesis test H₀: σ²₁ = σ²₂ against H₁: σ²₁ > σ²₂. Suppose that the sample sizes are n₁ = 20 and n₂ = 8, and that s²₁ = 4.5 and s²₂ = 2.3. Use α = 0.01. Test the hypothesis and explain how the test could be conducted with a confidence interval on σ₁ / σ₂.