When you try to complete the configuration of a task that you are scheduling as a different user, you receive a message similar to:

An error occurred while attempting to set task account information.

If you press the Details button, you receive:

0x8007005 Access is denied. You do not have permission to perform the requested operation.

Only members of the Administrators group, or persons who have been delegated the appropriate user rights, can schedule a task to run in another user's account context.