My iPod quit yesterday. It was fully charged. Do you think it requires a new battery?

Where you using it when it quit? What kind of information does it display, if any?

Start by trying a reboot by attaching to your charger, then hold both the power and home buttons until the apple logo appears. When that appears, release the buttons and let it go through its startup procedure.

If you have a computer with iTunes you can also try placing the iPod in recovery mode, but that will erase it:

But if you have an Apple store that is convenient, the genius bar is a great approach.