Which type of equipment do you have in mind ... anaesthesia machines, or, err ... everything in the hospital?
And what stage are you at ... just starting out? And, how has the equipment been maintained up to this point?

What you are able to accomplish will depend to a large extent upon what resources you can muster. Not only manuals, but also test equipment (not to mention
time available).
If you are short of sophisticated test equipment, there is nothing much wrong with going "back to basics" and build up your test gear (and your own expertise) as you go along.
Anaesthesia equipment? Try:-
1) Pressures (can be slighty "out" without any noticeable effect).
2) Flowrates (the flowmeters on the machine should already be accurate enough).
3) Leaks? Use soapy water and eliminate any leaks found (especially on the back-bar).
4) Vaporiser(s) - you will need the proper test instrument if you want to measure concentration of the anaesthetic agent(s); but you can at least check that the control barrel is not jammed ("stuck up")!
5) Hoses - check for deterioration (change if suspect).
6) Absorber - check for cleanliness, leaks and non-sticking of valves.
7) Ventilator - (depending upon type) do what you can with whatever test kit you have (even if that's just a stop-watch); but at least try to satisfy yourself that it is working as it should!
But in general:- check for good condition and zero leaks!
Meanwhile, do you have a list of the equipment you are supposed to be looking after? Taking an inventory (and assessing the condition of every piece of equipment) is as good a place as any to start.
