As a follow-up, I wanted to let everyone know that the problem was relative to my VM. When I installed the software on a regular laptop, things worked without any problems.
In debugging the problem, my VMware Lab Manager administrator found that the error occurred with ESX 3.5.0 123630 running on a Dell PowerEdge R805 with an Athlon processor (the VM was assigned 2GB of memory and 1 CPU). The error did not occur with ESXi 4.0.0 164009 running on a Dell PowerEdge 2950 with a Xeon processor (the VM was assigned 2GB of memory and 1 CPU).
So, at this point, we suspect that the LabManager software with ESX 3.5.0 is the problem. We have a LabManager upgrade with ESX 4.0 waiting in the wings, but it may take a bit for the right people to find time to install it. If, for some reason, the LabManager upgrade does not fix the problem, then it is possible that Oracle is having an issue with the Athlon host processor.