That is, the variance of the sampling

**distribution**of the**mean**is the population variance divided by N, the sample size (the number of scores used to compute a**mean**). The standard error of the**mean**is the standard deviation of the sampling**distribution**of the**mean**.Consequently, what is the Student t distribution used for?

Student's t Distribution. The t distribution (aka, Student's t-distribution) is a

**probability distribution**that is used to estimate population parameters when the sample size is small and/or when the population**variance**is unknown.What is the distribution of F?

The

**F distribution**is a right-skewed**distribution**used most commonly in Analysis of Variance. When referencing the**F distribution**, the numerator degrees of freedom are always given first, as switching the order of degrees of freedom changes the**distribution**(e.g.,**F**_{(}_{10}_{,}_{12}_{)}does not equal**F**_{(}_{12}_{,}_{10}_{)}).Why do they call it the Student's t distribution?

The

**t distributions**were discovered by William S. Gosset in 1908. Gosset was a statistician employed by the Guinness brewing company which had stipulated that he not publish under his own name. He therefore wrote under the pen name ``**Student**.''