Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 25

Expand Your Knowledge: Sample Size and Significance of r
(a) Suppose n = 6 and the sample correlation coefficient is r = 0.90. Is r significant at the 1% level of significance (based on a two-tailed test)
(b) Suppose n = 10 and the sample correlation coefficient is r = 0.90. Is r significant at the 1% level of significance (based on a two-tailed test)
(c) Explain why the test results of parts (a) and (b) are different even though the sample correlation coefficient r = 0.90 is the same in both parts. Does it appear that sample size plays an important role in determining the significance of a correlation coefficient Explain.