Displaying *only* posts on static page

I have a static non-wordpress page that I’m displaying excerpts from my latest posts on my wordpress blog. To do that, I’m using the following code:

This is placed at the top of the page.

<?php
	// Include WordPress
	define('WP_USE_THEMES', false);
	// Change path below to location of wp-blog-header.php on server
	require('/wordpress/wp-blog-header.php');
	// Change number below to show 1 or more post excerpts
	query_posts('showposts=5');
?>

This is placed within the page where I want to display the excerpts.

<?php while (have_posts()): the_post(); ?>
<?php the_time('jS F') ?>
<a href="<?php the_permalink(); ?>" title="Read full post"><?php the_title(); ?></a>
<?php endwhile; ?>

The problem I’m encountering is that while it does display the latest posts exactly how I want it to, it’s also displaying excerpts to newly created static wordpress pages. All I want are the latest posts from my blog page, and not excerpts from other wordpress pages.

What needs to be changed to accomplish that?
I tried changing query_posts to get_posts but that did a lot of nothing. I also tried restricting the header code to specific categories only by changing 'showposts=5' to 'cat=3&showposts=5', but that didn’t work either.

I’m not familiar enough with the language to figure this one out. Any help would be greatly appreciated.

Thanks!