Newbie: Telling if two distributions have the same mean



Hi,

I'm a bit new to statistics, so please forgive me if this is a
very basic question or if I am posting to the wrong place. (Also, if
I use the wrong terminology, please, forgive that, too)

I have two normal distributions with the same mean and standard
deviation. If I do a T-Test in R I can't tell if the distributions
have the same mean or not. If I run the same test on different
samples from the same normal distribution a thousand times, then the
T-
Test p-value is roughly uniform.

I think this means that while the T-Test is very good at telling
if two samples have a different mean it can't help you decide if they
have the same mean.

This is unfortunate for me because I need to know if the means are
the same. Can any one tell me how I might do that? Also, I really
need to check if n means are all the same - I've tried the anova in R
and it has the same problem.

Thank you very much for you time,

Hugh.
.



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