After the patch, you should see something like this:
Code:
<script src="http://www.google-analytics.com/ga.js" type="text/javascript">
</script>
<script type="text/javascript">
var pageTracker = _gat._getTracker("UA-278520-9");
pageTracker._initData();
pageTracker._trackPageview();
</script>
The difference is that google's original code detects HTTPS, and writes it's url accordingly for the .js file. The google analytics module in X-Cart detects HTTPS in the PHP code, and determines the URL, so that the JS code is simplified.
Cheers