Electrical Help Please

Without seeing how the two places tested, and the test equipment settings, must say its probably best to write off both tests.
Although it sounds like you were able to observe the one battery test. Maybe you can fill in more info.
Basically the battery test is create a load similar to a starter and measure current and voltage. However instead of comparing with the starter current, the comparison is based on the energy the battery is supposed to have stored when fully charged (3 times the AH rating or 1/2 the CCA).

Here's a battery test procedure using a Sun VAT-40. Its relatively modern so an inductive pickup clamp to measure current.
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As far as the regulator goes, you can observe if the voltage stays consistant with increasing rpm.
You can measure at the battery. If that's good, go around and measure the at the alternator output - carefully!! Don't short the output terminal connection with the test lead.