population variance = sigma^2
when the variance is unknown we use:
sample estimator = s^2
but (xgem - u)/(s/rt(n)) does not follow the standard normal distribution.
this distribution is called t distribution. (looks very much like the standard normal if n is large enough. )
so degrees of freedom are used. so
xgem +/- t(n-1), 1-alfa/2 * (s/rt(n))
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