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 15 and n 2 15, and the sample variances are s 2 1 2 3 and s 2 2 1 9 Use 0 05 (a) Test the hypothesis and explain how the test could be conducted with a confidence interval on 1 2 (b) What is the power...

a 1 The parameters of interest are the standard deviatio ...

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

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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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Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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Question Posted: Jul 02, 2018 06:32 AM

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

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