Figured it out. I went to version tracker and it recommended to go macgames and they explain how to install UT2003 in case anyone needs to know then here's the solution.
Installer quits after displaying the message "It is recommended that you install Mac OS X 10.2.6 or later before installing Unreal Tournament 2003."
Solution: Control-click the "Unreal Tournament 2003 Setup" icon on disc #1, and choose "Show Package Contents." In the window that appears, open the "Contents" folder and then the "MacOS" folder. Double-click the "ut_setup" icon and the installer should run.