Server Administration :: Remove Synonym STATS$SNAPSHOT-ID?

I've got to collect statistics by DBMS_STAT. For the first time, the spcreate.sql is to be called, however, it returned one error following:

If this script is automatically called from spcreate (which is the supported method), all STATSPACK segments will be created in the PERFSTAT user's default tablespace.

Using perfstat tablespace to store Statspack objects

... Creating STATS$SNAPSHOT_ID Sequence Sequence created.

create public synonym STATS$SNAPSHOT_ID for STATS$SNAPSHOT_ID
*
ERROR at line 1:
ORA-00955: name is already used by an existing object Disconnected from Oracle Database 10g Enterprise Edition Release 10.2.0.1.0 - Production With the Partitioning, OLAP and Data Mining options

And then, I checked it again with its owner:

SQL> select owner, synonym_name
2 from dba_synonyms
3 where synonym_name='STATS$SNAPSHOT_ID';

OWNER SYNONYM_NAME
------------------------------ ------------------------------
PUBLIC STATS$SNAPSHOT_ID

Then, I checked again after dropping schema PERFSTAT:

SQL> conn /as sysdba
Connected.
SQL>
SQL> select username, account_status

[code]...

What's the STATS@SNAPSHOT_ID synonym? Can I remove it from PUBLIC owner and recreate?