I have two datasets with 35 points each. I know that both are pulled from normal distributions with equal variances. A two-sample t-test indicates they have the same mean, but the p-value is close to my alpha.

1. Knowing they are normal with equal variances, would it make sense to just create normal distributions with the relative sample means, draw say 1,000 points from each, and *then* perform a two-sample t-test?
2. Would it be fruitful to do this, ie could I expect to learn anything new?