You probably may not even need any additional packages (libraries) to do that. R includes out of the box a whole bunch of statistical tests and tools to study the distribution of your data. What R (or the community here) cannot do though is guess what should be done on your data. So, if you tell us exactly what you want to do (the name of the test and so forth), we could point you in the right direction, but if you have no idea, you need to learn a little of both R and statistics first.
The book suggested by @Leon is great. For small data problem with a focus on statistics, I would also recommend the R book by M. Crawley that teaches both statistics and R at the same time.