||Test if the mean is equal to a hypothesized value.
Assumes the population is normally distributed. Due to the central limit theorem, the test may still be useful when this assumption is not true if the sample size is moderate. However, the Wilcoxon test may be more powerful in this situation.
||Test if the mean/median is equal to a hypothesized value.
Assumes the population distribution is symmetric. The mean, median, and pseudo-median are equivalent when the distribution is symmetric. Therefore, the hypotheses can be stated in terms of any of these parameters.