How to create a second website on Sharepoint 2010 system

I have a standard Sharepoint 2010 website on a Server 2008 using standard install. My site is accessed internally by using - . I want to create a completely different website with a different look but they get it the website by entering 

What is happening is I keep getting 

What I want is just enter the and it does not reference the other site at all.

Can this be done?
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Rainer JeschorConnect With a Mentor Commented:
have you already created a new web application?
From your question it looks like someone has either created a host named site collection OR a IIS redirect site.

Normally you would open SharePoint Central Administration and create a new web application with as host header and port 80.

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