For those who haven't read about Fisher's tea experiment: There was a woman who claimed she could tell if the milk was put into the cup before or after pouring the tea. Fished didn't think so, and developed the experimental technique to test this idea. Indeed she could, getting them all right iirc.
[1] see https://media.trustradius.com/product-downloadables/UP/GB/AD... for a discussion of the problems with a t-test. There is also a more detailed whitepaper from Optimizely somewhere