Consider the hypothesis test H 0 2 1 2 2 against H 1 2 1 2 2 respectively Suppose that the sample sizes are n 1 5 and n 2 10, and that s 2 1 23 2 and s 2 2 28 8 Use 0 05 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 1 2 2 H 0 1 2 2 2 3 H 1 1 2 ...

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 respectively. Suppose that the sample sizes are n₁ = 5 and n₂ = 10, and that s²₁ = 23.2 and s²₂ = 28.8. Use α = 0.05. Test the hypothesis and explain how the test could be conducted with a confidence interval on σ₁ / σ₂.