Audio Out is not working on my iPod Classic

Andrew, I just like to verify that you are talking about a Classic and not a 5th Gen video. A lot of times people refer to the 5th gen as a Classic as well. The 6th and 7th Gen are actually the Classic. Now for the problem with the audio. This particular model has a problem with an IC on the logic board. the solder on the audio IC does develop microcracks and loses contact with the logic board. You can try and see if you get sounds by applying some pressure to the right lower side of the ipod, almost between the click wheel and the bottom corner. If you should get sound by doing so, then you only have very few options. One is a new logic board for about $40 on eBay; the other one is to reflow your old logic board. Or you can try what warnergt did on http://forums.macnn.com/103/ipod-iphone-... By now I can verify that this works since I performed a reflow on three of the boards and it solved the problem. The logic board is of course available at ifixit as well. Any of this will be cheaper that the $100 for the diagnostics alone. Hope this helps, good luck.