Question

Consider the following famous mathematics problem, first presented by Sir Ronald Fisher in 1935. A lady declares that by tasting a cup of tea made with milk she can discriminate whether the milk or the tea infusion was first added to the cup. To test her assertion, eight cups of tea have been made – four by pouring the milk first and four by pouring the tea first. She has been give the eight cups in random order and asked to split them into two sets of four. Design a randomization test to determine the significance of her results. Once at least one randomization test has been posted, I will facilitate further discussion by posting additional questions to the discussion thread. Possible questions are: What is the probability that she will choose the correct partition by pure chance? What is the probability that she will correctly place 6 of the 8 cups? How can you increase the significance of the experiment?

          Consider the following famous mathematics problem, first
presented by Sir Ronald Fisher in 1935.
A lady declares that by tasting a cup of tea made with milk she can
discriminate whether the milk or the tea infusion was first added
to the cup. To test her assertion, eight cups of tea have been made
– four by pouring the milk first and four by pouring the tea first.
She has been give the eight cups in random order and asked to split
them into two sets of four. Design a randomization test to
determine the significance of her results. Once at least one
randomization test has been posted, I will facilitate further
discussion by posting additional questions to the discussion
thread. Possible questions are: What is the probability that she
will choose the correct partition by pure chance? What is the
probability that she will correctly place 6 of the 8 cups? How can
you increase the significance of the experiment?

Added by Johnny A.

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