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?

(c) Assuming equal sample sizes, what sample size should be used to obtain β = 0.05 if the σ2 is half of σ1?

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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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