In this problem, we use your critical values table to explore the significance of r based on different sample sizes. (a) Is a sample correlation coefficient ρ = 0.84 significant at the α = 0.01 level based on a sample size of n = 5 data pairs? What about n = 11 data pairs? (Select all that apply.) Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 11 and α = 0.01. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 5 and α = 0.01. Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 11 and α = 0.01. Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 5 and α = 0.01. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 5 and α = 0.01. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 11 and α = 0.01. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 11 and α = 0.01. Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 5 and α = 0.01. Incorrect: Your answer is incorrect. (b) Is a sample correlation coefficient ρ = 0.40 significant at the α = 0.05 level based on a sample size of n = 16 data pairs? What about n = 27 data pairs? (Select all that apply.) Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 27 and α = 0.05. Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 27 and α = 0.05. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 27 and α = 0.05. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 27 and α = 0.05. Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 16 and α = 0.05. Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 16 and α = 0.05. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 16 and α = 0.05. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 16 and α = 0.05. Incorrect: Your answer is incorrect.
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