Suppose that data are obtained from 20 pairs of (x, y) and the sample correlation coefficient is 0 8 (a) Test the hypothesis that H 0 0 against H 1 0 with 0 05 Calculate the P value (b) Test the hypothesis that H 1 0 5 against H 1 0 5 with 0 05 Calculate the P value (c) Construct a 95 two sided con...

a Reject H 0 Pvalue 200005 0001 b Reje ...

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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Question Posted: Jul 07, 2018 06:23 AM

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

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