Tyson, here's the best example of hyper focusing I can think of. Here's a shot I took 2 weekends ago using it:



I wanted the distant mountains and the sand in the foreground to be in focus. Had I set my lens to focus at infinity, the sand in the foreground probably would not have been in focus as well.



So, I pulled the focus back to the hyperfocal mark on the lens. I had the aperature set to f11 so I set the infinity mark on the focusing ring to "11" as you can see below.



Now, in reality I probably pulled the focus a little more back to infinity, just to be on the safe side, and I absolutely used the DOF preview button to check it. The result is an image in which everything is in focus, which in this image I feel is crucial.

Hope this helps

Rick