We got this same error while installing HP ALM 11.5 on Oracle DB.
I had my dba run the 'qc_admin_db___oracle.sql' file as provided on the install DVD like it mentioned to do in the documentation. What I did not see anywhere in the documentation was that you also need to run 'qc_sys_db___oracle.sql' to create the QC_SELECT_ON_SYS_OBJECTS role.
Try to have your dba run the sql to create that role and it may alleviate your issue.