The strobe doesn't have F stops...it has a power scale from Full Power, down to 1/32.
And yes, it will depend on different things.
I'd suggest starting with something like this;
Camera in manual, shutter speed at 1/125, ISO at 100, aperture at F8.
Flash at 1/4 power, about 6 feet from your subject.
Try that and see what you get. I'd suggest learning to read the
histogram on the camera, rather than just looking at the photo on the screen.
If the photo is too dark, you can open the aperture (lower F number), increase the ISO (not recommended), increase the power on the strobe or move the strobe closer to your subject.
If the photo is too bright, you can stop down the aperture (smaller F number), decrease the power of the flash or move the light back.
The shutter speed does not affect the exposure from the strobe, as long as you keep it at or under the max sync speed of your camera (probably 1/200)
Using the trial & error method, you should be able to find exposure settings that work for you, without using a flash meter.
However, if you add more strobe lights. You will want to know/set the ratio between lights and that is where a flash meter really comes in handy. Well, it's really handy when using only one light too.