In the design of experiments in statistics, the lady tasting tea is a randomized experiment devised by Ronald Fisher and reported in his book The Design of Experiments. The experiment is the original
The experiment asked whether a taster could tell if the milk was added before the brewed tea, when preparing a cup of tea.
Suppose the data can be realized from an N(0,1) distribution. For example, with a chosen significance level α = 0.05, from the Z-table, a one-tailed critical value of approximately 1.645 can be obtained. The one-tailed critical value Cα ≈ 1.645 corresponds to the chosen significance level. The critical region [Cα, ∞) is realized as the tail of the standard normal distribution.