GHTROUT is correct. In fact, I think I'd be hard pressed to find an instance when he was not.
Anyway, the EOD timers matter because an outgoing connection from a digital telephone is considered established only after the end of dialing time is elapsed. The shorter the time the sooner the system considers a call established.
Alternatively, as ACEWARLOCK mentioned, an outgoing call can be established immediately by pressing the octothorpe (#) after the last digit is dialed. This basically says "I'm done dialing".
You've said that you've heard DTMF tones from a digital set on an analog set that you've called. Did you make those calls EXT to EXT or by dialing out and back in again to the other phone?
I ask because if you didn't make the call by dialing out and back in again to the other phone to hear the DTMF then it occurs to me that you might have an End-to-End Signaling (EES) issue on outbound calls.
Regards,
Harry
"The legitimate powers of government extend to such acts only as are injurious to others. But it does me no injury for my neighbour to say there are twenty gods, or no god. It neither picks my pocket nor breaks my leg." --Thomas Jefferson