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

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Consider the hypothesis test H0: μ1 = μ2 against H1: μ1 = μ2. Suppose that sample sizes n1 = 15 and n2 = 15, that x̅1 = 6.2 and x̅2 = 7.8, and that s21 = 4 and s22 = 6.25. Assume that σ21 = σ22 and that the data are drawn from normal distributions. Use α = 0.05.

(a) Test the hypothesis and find the P-value.

(b) Explain how the test could be conducted with a confidence interval.

(c) What is the power of the test in part (a) if μ1 is 3 units less than μ2?

(d) Assume that sample sizes are equal. What sample size should be used to obtain β = 0.05 if μ1 is 2.5 units less than μ2? Assume that α = 0.05.

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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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