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I don't think we are on the same page:

There have to be some uncountably infinitely many statistical tests can apply to six numbers, and given any list of 6 numbers it will have to fail, be very "suspicious", according to some of the tests.

So, in this example, they took six numbers and found a test that it failed. Of course. Can always do that -- given 6 numbers, knowing the numbers, can always find a test that it fails.

There is an old remark that some probability theory guys "didn't believe in statistics". Hmm




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