Student's t-test is useful for testing the

Student's t-test tests the significance of the difference between two sample means and the significance of a correlation coefficient.

Testing the independence of attributes belongs to the chi-square test, not the t-test.

Analysis of variance is handled by the F-test when three or more means are compared.

Options pairing the t-test with independence or variance analysis therefore misassign the technique.

The t-test suits small samples where the population standard deviation is unknown.

William Gosset devised the t-distribution in 1908 under the pen name Student.