One sample t test is used to test whether the sample mean (x) for a specific variable is "likely" or "unlikely" against the hypothesis that this average from a sample that was drawn at random from a population which we know the mean (µ), but not the standard deviation. In this case, the sampling distribution of means no longer follows the shape of the normal distribution. In fact, when we do not know all the population parameters (mean and standard deviation real), we can use the t distribution, akin to the normal distribution, and test whether a ...