Edit this entry in Static Front Page

I went into wp-admin>Pages and created a Welcome page which I want as my static front page for my Blog

Then I went into Options>Reading and put a tick mark in in Static Page and chose my Wecome Page.

The problem I’m having is at the bottom it says “Edit this entry” which is a link in to my wp-admin when I bring up my Blog in IE. I know this shouldn’t be there so how do I get rid of it.

Only when I log out does this go away. If this shows for others when I’m logged in, they could mess with my stuff.

So please explain how I get rid of “Edit this entry” when I’m logged in.

Thanks,

Judith