The test itself doesn't rely on one person, though. It's a statistical measure, so for each "game" you have a number of interviewers/judges who test the system.

The test itself doesn't rely on one person, though. It's a statistical measure, so for each "game" you have a number of interviewers/judges who test the system. If the system has any of them fooled, the test can be considered "passed". AFAIK there's no precise number attached to this, so it's not like ">x% people fooled => pass". So in essence it's not "the human tester" but "the average human tester" for some arbitrary definition of "average". It's a really interesting dilemma if you think about it: is a forger good if they're able to fool everyone but experts? Does an AI pass the Turing test if it fools the general public, but every AI expert who knows the system would be able to tell after just a few sentences?