All sleeper cars have a shower room and bathroom. Additionally, if you are traveling on a train that is just one level (Viewliner), your roomette will have the added perks of a sink, toilet, high ceilings and extra windows.
Does Amtrak have private bathrooms?
Do private rooms have bathrooms and showers? Yes. All rooms have access to restrooms and showers. Check out the room descriptions for more information about the room type you are considering.