1. The problem statement, all variables and given/known data At the 5% level, will the two means be equal ? 2. Relevant equations 3. The attempt at a solution I tested the variances and found out that it's very likely that the variances are equal, so this is an assumption we make when we do the second test. Now, I'm trying to test the means and see if they are equal. I'm getting confused because this is what I get: Two Sample t-test data: Var1 and Var2 t = -2.1372 df=3998 p-value = 0.03264 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: -0.128821801 -0.005552541 sample estimates: mean of x mean of y -0.0670763877 0.0001107835 zero is not included in the but my p-value is greater than 2.5% (for a two sided test)... what do I do in such case ? my t value is more extreme than at the 2.5%. I think the p-value I'm given is wrong, is it possible ? Thanks, Roni.