Standard error approaching standard deviation in t-distribution with large samples

inferential_stats

#1

As sample size increases in a t-distribution , how does standard error always approaches standard deviation?
For contrary reason, lets assume a population and we draw large enough samples from it, then it is certain that standard error will be less than the standard deviation.

Then how is it that, S.E approaches S.D in t-distribution?


#2

Hi @NSS

Are you sure about Standard error approaching standard deviation as sample size increases? I don’t think so. Can you provide the some references affirming your statement?

Regards