# mean of sample vs the sample mean

Say I have a sample population A it has mean $\mu_A$. I sample A and obtain another sample population $\hat A$, it has a mean of $\mu_\hat A$.

If a hypothesis test indicates that I should be 95% confident that the two means $\mu_A$ and $\mu_\hat A$ are not equal.

What can I infer about $\hat A$ ?
How might it be different from A.

• You might want to rethink how you describe the hypothesis test. You probably mean "There is a 0.05 or less probability that if the two means were equal we would see the data we did", which is not the same? – Peter Ellis Feb 8 '18 at 1:30
• @PeterEllis I am saying that 95% of the time I expect the difference in the means not be equal to 0. Is that not what I wrote? – grldsndrs Feb 8 '18 at 1:48