The history of statistical hypothesis testing really began with a tea-tasting experiment

(Fisher, 1935), so it seems fitting for this book to end with one. The owner of a small tearoom doesn’t think people really can tell the difference between the first cup made with a given tea bag and the second and third cups made with the same bag (which is why it is still a small tearoom). He chooses eight different brands of tea bags, makes three cups of tea with each, and then has a group of customers rate each cup on a 20-point scale

(without knowing which cup is which). The data are shown here, with higher ratings indicating better tea:

Cup Tea Brands First Second Third 1 8 3 2 2 15 14 4 3 16 17 12 4 7 5 4 5 9 3 6 6 8 9 4 7 10 3 4 8 12 10 2 Using Friedman’s test, draw the appropriate conclusions.