Last Modified: September 4, 2017

Tests hypotheses about populations whose distributions are continuous.

As in all hypothesis tests, the hypotheses are statements about the population, not about the sample set.

Tests hypotheses about the variance of a population whose distribution is at least approximately normal.

Tests whether the row and column categorical variables of a contingency table are independent.

Tests hypotheses about the association between two populations *x* and *y*.

Tests hypotheses about the variance of two independent populations whose distributions are at least approximately normal.

Tests hypotheses about the median of two populations whose distributions are continuous.

Tests hypotheses about the median of a population whose distribution is continuous.

Tests hypotheses about the mean of the differences between two dependent populations. The distributions of the differences are at least approximately normal but the variances of the differences are unknown.

Tests hypotheses about the mean of a population whose distribution is at least approximately normal but whose variance is unknown.

Tests hypotheses about the mean of two independent populations whose distributions are at least approximately normal but whose variances are unknown.

Tests hypotheses about the mean of two populations whose distributions are continuous and symmetric but not necessarily normal.

Tests hypotheses about the mean of a population whose distribution is continuous and symmetric but not necessarily normal.

Tests hypotheses about the mean of a population whose distribution is at least approximately normal and whose variance is known.

Tests hypotheses about the mean of two independent populations whose distributions are at least approximately normal and whose variances are known.