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ggplot2 - Cant make t distribution with ggplot in r

I have a large sample size (n=9000) and I want to plot this distribution with its confidence intervals.

Generally, I think I have to plot a t-distribution but I don't know how to plot it. Or is it because the high sample size, that I can plot a normal distribution?

How could I plot it with ggplot and how can I add a line wich emphasizes the mean and confidence intervals?

Thank you for helping!

question from:https://stackoverflow.com/questions/65904198/cant-make-t-distribution-with-ggplot-in-r

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