If you look at the link again, you will see that for the SELECT example (not the WHERE NOT EXISTS example), the designer has used aliases in the subquery statement for the table AND the value (as a field) being returned. See MeterReading AS Dupe... If asked, I would have said that this was required for any subquery statement, but I guess not. I do not see where you aliased the table or field names that are common to both parts of your query, and I'm pretty sure the FROM part for the main query has to be at the end, which you have not done either. Note that the example does not use a semicolon for the subquery either. Not sure if it doesn't matter - I leave it out as a matter of course. Maybe something like
Code:
SELECT MYTABLE.[DATE], MYTABLE.[Open Price], MYTABLE.[Close Price],
MYTABLE.[High Price], MYTABLE.[Low Price],
(SELECT MIN Dupe.[Low Price]) FROM MYTABLE as Dupe WHERE
Dupe.[DATE]>#12/1/2015# AND Dupe.[DATE]<#12/15/2015#) AS MinDate
FROM MYTABLE;
The example also uses the complete table.field reference whereas you have not. Again, for this type of query, it is what I'd do. So you have a lot of variances between the example and what you tried. Not sure if I picked the best version of yours to tweak as you've posted a few, but I think you'll get the idea if my example doesn't work.
Last but certainly not least, Date should NEVER be used for a field/table/object name. It's getting to be so repetitive for me to say this that I've finally bookmarked the page I send everyone to!
Microsoft Access tips: Problem names and reserved words in Access
You should also read up on naming conventions while you're at it. Here's one (but I don't follow it religiously)
General: Commonly used naming conventions
I'll use frm, ctl, tbl, qry, rpt, cmd, sfrm, txt, lst, opt, lng, int, dbl, lbl, cmb, chk, img, str, var etc. without worrying about sub-groups for objects like queries.. To each their own; just adopt something and be consistent. Just NO spaces or special characters (save for underscore, which I never use) opting instead for lowerUpperCase style of naming.