(a) Is a sample correlation coefficient ρ = 0.83 significant at the α = 0.01 level based on a sample size ofn = 4 data pairs? What aboutn = 14 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
= 4 and α = 0.01.
No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of
n
= 14 and α = 0.01.
No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of
n
= 4 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
= 14 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
= 14 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
= 4 and α = 0.01.
Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of
n
= 14 and α = 0.01.
Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of
n
= 4 and α = 0.01.
(b) Is a sample correlation coefficient ρ = 0.41 significant at the α = 0.05 level based on a sample size ofn = 17 data pairs? What aboutn = 30 data pairs? (Select all that apply.)
No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of
n
= 17 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
= 17 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
= 30 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
= 17 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
= 30 and α = 0.05.
No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of
n
= 30 and α = 0.05.
Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of
n
= 17 and α = 0.05.
Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of
n
= 30 and α = 0.05.