Scheduling A Job Containing A DTS Package On Sql Server 2000

I've tried several different possibilities but don't have enough basic
understanding of the ownerships and permissions that are involved so
I'm looking for someone to explain what is required:

I created a DTS package that includes a drop table, create table, and
data transformation task. Originally, my owner was local to the pc
workstation with administrator priveleges. When I executed the
package on demand (manually, not scheduled), it runs just fine. No
errors. When I schedule the package to run at a scheduled day/time,
it fails with an access is denied message.

I originally was using the sql admin user and password in the
connection but the view job history kept referencing "Executed as
user: sqlservernameSYSTEM...." and errored with an access is denied
message. Where did it get the SYSTEM user from since my connection
used the sql admin user in my DTS package? Do I need to determine how
to get the sql admin user or should the SYSTEM user really have to run
this scheduled job? How do I get the sql admin user to show as the
"executed as user"?

I created another admin user to see if it had someone to do with the
sql admin account but I got similar results. I tried creating the
package as an NT domain user but got similar results.

I'm sure it has something to do with permissions and ownerships but I
really don't have a clear understanding of how it was intended to
work.

Any advise you can give is greatly appreciated. I've read alot of
postings and I'm still not clear on the requirements.