I have the following Question in Business Statistics:

For n>100, i learned, that we can use the standard normal
distribution instead of the t-distr.

Does this also mean that for hypothesis tests of µ (pop. mean) I
have to perform a Z-test for samples>100 in the sigma-unknown
case (with the respective labels like Zstat/Zcrit etc.) and not
like usually (for sigma-unknown) a T-test?

Moreover, with 2 populations the hyp test of µ works with µ1-µ2.
Also here in the Sigma unknown case if n1+n2 (the sum of both
sample sizes) is >100, i should use a Z-Test rather than a
T-Test.

Am i right?

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