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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?

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

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