The purpose of an independent-measures t-test is to determine whether the mean difference obtained between two groups in a between-subjects study is greater than could reasonably be expected by chance. In other words, the test determines whether the data provide enough evidence to show that the mean difference was caused by something other than chance. Briefly describe the purpose of each of the following hypothesis tests:
a. Single-factor ANOVA
b. Test for the significance of a correlation
c. Chi-square test for independence