Well I did a little more homework to determine what a continuity tester was and how that would differ from my Beckman Industrial DM15B digital multimeter.
Wikipedia defines the continuity tester as something that will give off a light or a sound to show there is continuity. You can read that here http://en.wikipedia.org/wiki/Continuity_tester
. This actually talks of multimeters having buzzers in them for continuity tests.
WIkiPedia describes a multmeter here http://en.wikipedia.org/wiki/Multimeter
In both of these articles they talk about a multimeter having the ability to buzz if there is complete continuity. My Beckmean Industrial DM15B has that capability and in fact I was on that range 0 - 200 ohms, when I was doing the testing and it was buzzing during each of my measurements showing continuity.
The right ohms reading was there along with all the other items checked both in the freezer compartment etc..
Let me know if I am missing something here.