Problem with email mailman in Ubuntu

I have just newly installed mailman on ubuntu server. Using Apache2 web server and Exim4 mail server. Mailman is started and running fine. I can send email to and from an login account from the list server. However, when I send email to the cctest4@list.nmit.vic.edu.au , no email send to the member. cctest4 is not a login account. Please advise where did I config wrong in the MAILMAN setup. I followed the instruction to instal mailman which create a "list" user and "list" group.

# more 04_exim4-config_mailman
# start
# Home dir for your Mailman installation -- aka Mailman's prefix
# directory.
# By default this is set to "/usr/local/mailman"
# On a Red Hat/Fedora system using the RPM use "/var/mailman"
# On Debian using the deb package use "/var/lib/mailman"
# This is normally the same as ~mailman
MM_HOME=/var/lib/mailman
#
# User and group for Mailman, should match your --with-mail-gid
# switch to Mailman's configure script. Value is normally "mailman"
MM_UID=list
MM_GID=list
#
# Domains that your lists are in - colon separated list
# you may wish to add these into local_domains as well
domainlist mm_domains=list.nmit.vic.edu.au
#
# -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
#
# These values are derived from the ones above and should not need
# editing unless you have munged your mailman installation
#
# The path of the Mailman mail wrapper script
MM_WRAP=MM_HOME/mail/mailman
#
# The path of the list config file (used as a required file when
# verifying list addresses)
MM_LISTCHK=MM_HOME/lists/${lc::$local_part}/config.pck
# end

Thanks

Can you send it with mailx? Might be outside.

Thanks for the respond. Yes, I could send email from the mailman list server (by mailx and mail -v) to external email accounts. The email sent to the mailman list server did reach there, but was just stored inside the mailman and didn't post to the members. However, I got the mailman working now by installing and using POSTFIX as the mail server rather than using EIXM4 mail server. Finally, the mailman starts posting email to the members:).