IMO it's better to just plot the two distributions that you want to compare so that people can eyeball the difference (or run the statistical tests themselves should they wish to do so). For one thing not all distributions are Gaussian. And the t-test only answers one specific question (i.e., with one given p-value). Then there's people who misinterpret the result of the t-test. Or people who mess with the p-value till they get what they need.