Well I have had success! I checked my raytraced shadow settings on my lights and made sure that they were set as suggested by hborre. I then checked my render settings and found that raytracing was on and set to 1 bounce but I stilll had no shadows. I then set my render settings to the maxmum values on the auto setting (giving 6 bounces) and voila, shadows appeared!

I would like to thank everyone who responded for your time and help. I really do appreciate it very much.

Have a great evening.

nabob21