I'm confused! Your average core strength is 2700 psi, but corrected it is 2900 psi? Usually when core strength correction factors are applied, they reduce the strength, not increase it.
Your technician made a valuable observation...friability and different coloring.
You say the mix design "looks good"....by what account? It doesn't appear that you received anything like what was supposed to be in the mix design. Why? As someone else pointed out, you have look at more than just strength, particularly when the indications of high variability are as strong as in this case.
To allow acceptability under ACI 318, your average core strength, assuming you took an adequate sampling, would have to reach 0.85(3750), or 3190 psi. You're not there. Even if you try to rationalize that your true f'c is 3500 psi, then you're still not there.
All indications are that you have a problem. Determining who is responsible for the problem could involve several players. Have you reviewed the delivery tickets? Was there water added at the site? Have you had petrography done to determine the air content of the hardened concrete and other void characteristics? Petrography can also tell you if the mix was retempered or if it had an inordinate amount of bleed water. Was there a batching problem? When was the last time the batch plant was inspected? Are the scales certified? Are the dosing valves/site glasses good?
Lots of things to check in order to determine responsibility. Still think you probably have bad concrete. Your liability..have fun. Good luck.