Should my Android app be marketed in order to earn revenue from AdMob?

I wrote my first Android app and successfully included AdMob ads in the app. Do I have to publish the application through Market (Google Play) in order to start earning revenue?

In addition, I understand that during the development process, we need to install a test device to indicate that the ad is still in test mode. When I publish an application for real, all I have to do is remove testDevice from my code correctly?

Thanks in advance!