Question

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

Answer 1

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 = (barX - mu)/(s/sqrt(n))`

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

`t = (barX - 60)/(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.