Assuming a two-tailed test with α=0.05, how large a correlation is needed is needed to be statistically significant for each of following samples? Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all parts of the answers.
a. A sample of n=10
b. A sample of n=20
c. A sample of n=30
d. Repeat the process above with two-tailed alpha = .01. Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all parts of the answers.