# Making a t-distribution with sample size less than 30 [duplicate]

Our teacher said that we can use the graph of a standard normal distribution whenever the sample size is greater than or equal to 30 because of CLT. How can we make a graph of a $$t$$-distribution if the sample size is less than 30? What I mean is that if the standard normal distribution is like $$\frac{1}{\sqrt{2\pi}}e^{-\frac{1}{x^{2}}},$$ what should a $$t$$-distribution be?

• This? May 19 at 16:23
• What do you mean by "use the graph"? How would you use the graph.
– Dave
May 19 at 16:30
• You appear to be asking what a formula for the Student t density function (pdf) might be: see stats.stackexchange.com/….
– whuber
May 19 at 16:30