# Can t-test statistics be a negative number?

Nov 12, 2015

Yes

#### Explanation:

If the sample mean is less than the population mean, then the difference will be negative ...

t-statistic for mean $= \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

So, if $\overline{x} < \mu$, the t-statistic will be negative.

hope that helped