Jim,
I worked for an outfit that had us on a "24 On/72 Off" roster with training and admin chores being done on your time off.
We did have a sleep period in that 24 hour work period....where our response time remained the same but no training or routine patrol flights would be made.
Our response time from Call Out (Klaxon sounding) to airborne was two minutes.....try that from a tired sound sleep!
The Weather check consisted of the Lights on a Mast a quarter of a mile away. (200' and 1/4 Statute Mile)