using a=0.05, test for mean 1 greater than mean 2.

group n mean std dev.
1 30 13.5 1.1
2 30 12.0 1.2

Calculate standard error (SE) for each mean.

SE = SD/sq. root of n -1

Get z score of difference between means divided by square root of sum of SE^2.

Look up value in bask of statistics text in table labeled something like "areas under the normal distribution."

I hope this helps. Thanks for asking.