Hi Daniel ,
Yes you can check Av. Response time and DB time for each application server from ST03 at a single place ( CI or App server) .
ST03N-->Load History and Distribution --> <All application server are listed >
by double clicking on any application server you can see Av. Response time and DB time day, week and month .
Also in Instance comparision you can view all Application server details at one place .
Hope this helps .
THanks
Manas Behra