So being a dumb user that has basked in the glory of the stable and malware free OS X, my normal user account is an administrator account.

Seeing this made me create a new seperate admin account and demote my current account to a standard user.
Looking through the permissions on my /Applications directory it appears that about 10-12 applications I am the owner of and not root. Should I change them to be owned by root (chown)? Like the rest of my applications? Or are thy fine left the way ther are?
"dws" is the user name that was an admin and I just demoted to a standard user.
Here are some examples.
drwxrwxr-x 3 root admin 102 Jan 11 09:22 Automator.app
drwxr-xr-x 3 dws admin 102 Nov 21 22:04 BitTorrent.app
drwxrwxr-x 3 root admin 102 Oct 31 20:03 Calculator.app
drwxrwxr-x 3 root admin 102 Mar 20 2005 Chess.app
drwxrwxr-x 3 root admin 102 Jan 11 09:22 DVD Player.app
drwxrwxr-x 3 root admin 102 Mar 25 2005 Dashboard.app
drwxr-xr-x 12 dws admin 408 Feb 2 01:43 DesignWorks??? Lite
drwxrwxr-x 3 root admin 102 Oct 31 20:03 Dictionary.app
drwxr-xr-x 11 dws admin 374 Feb 13 18:58 EPSON APPS
-rw-r--r-- 1 dws admin 1605904 Jan 15 2002 Electricalc 2.0.1 Carbon
drwxr-xr-x 3 dws admin 102 Sep 11 17:34 Emacs.app
drwxr-xr-x 3 dws staff 102 Jan 19 19:45 Fetch Art.app
drwxr-xr-x 3 dws admin 102 Jul 5 2005 FinkCommander.app
drwxr-xr-x 3 dws admin 102 Nov 11 18:03 Firefox.app
drwxrwxr-x 6 root admin 204 Jan 13 07:30 Flip4Mac
drwxrwxr-x 3 root admin 102 Oct 31 20:03 Font Book.app