You can double click and it will run, though the command window will close when finished, so you can't see any of the results. You can get around this by running the file within a command window if you want. [Theres also a setting that can be set that keeps the window open when done, but I forget what it is...]
Note 16-bit batch files are not guranteed to run under 64-bit versions of Windows7/Vista, as the 32-bit wrapper no longer exists. You can usually run these batch files through a program like Doxbox, assuming the batch file is pure DOS and without and Windows functions.