Suppose that data are obtained from 20 pairs of (x, y) and the sample correlation coefficient is

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Suppose that data are obtained from 20 pairs of (x, y) and the sample correlation coefficient is 0.8.

(a) Test the hypothesis that H0: ρ = 0 against H1: ρ ≠ 0 with α = 0.05. Calculate the P-value.

(b) Test the hypothesis that H1: ρ = 0.5 against H1: ρ ≠ 0.5 with α = 0.05. Calculate the P-value.

(c) Construct a 95% two-sided confidence interval for the correlation coefficient. Explain how the questions in parts (a) and (b) could be answered with a confidence interval.

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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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