I suppose you could call it a pop quiz, although there's no "quizzing" involved; the Inspector just sits there, listens to the communications and observes the crew's routine procedures, takes notes and writes a report for his/her supervisor. In the rare case of exceptional crew performance, either good or bad, he/she will offer a critique to the crew or write up a violation of FARs, if warranted. In my experience, this was rare, and usually the Inspector went off and left the crew wondering.
The case of the 1900 that sat down on its tail was a different scene altogether. That Inspector was bruised on his butt and his ego, as well as water and glycol stained on his expensive suit, and he was justifiably pretty irate. He relieved the Captain and me of our licenses and wrote us up for careless and negligent operation and numerous other FAR violations, incuding falsifying flight documents. Since the baggage door got dinged against one of the baggage carts when the plane sat down, he declared it unairworthy and the company had to send another plane and crew to fly the one hop to complete our trip sequence. This turned out to be in vain, as none of the seven passengers going on to PLB would get on one of our planes, and the company wound up sending them on in taxis and limousines.
The thing that saved our bacon was that I still had the manifest sheet we were given in BOS and it agreed with my weight and balance flimsy, and didn't reflect the 400 pounds of extra cargo that was actually there. Piedmont's BOS station wound up taking the rap for the fiasco, and some dispatcher down there lost his license.
Cheers,
Wes