To be a little more specific, the index folder will be created at Data/Sites/[SiteID]/index
A common configuration problem is that often when users give the IIS_WPG user permission on the Data folder, the permission doesn't propagate down through child folders and files correctly. This happens especially on Win 2003, so you have to click the Advanced button in the permission dialog and check the box that says "Replace permission entries on all child objects..." as shown in the screenshot on this page:
http://www.mojoportal.com/iiswebsetup.aspx
Hope it helps,
Joe