# How do I find the z-score to the following scores, sample n = 25, Mean M = 60, Standard Deviation s = 12?

May 22, 2015

Looking at your data given, I would assume the you wont be looking for a $z$-score, but you would be looking for a $t$-score, the score related to the Student t Distribution...

Thus to calculate the $t$-score you would use the formula:

$t = \frac{\overline{X} - \mu}{\frac{s}{\sqrt{n}}}$

where in this case, you would have a formula of:

$t = \frac{\overline{X} - 60}{\frac{12}{\sqrt{25}}}$

The Student t Distribution has also got a table similar to that of the Standard Normal Distribution, of where you could get necessary values.