Using the data in Exercise 18, perform the Tukey–Kramer test to determine which pairs of means, if any, differ. Use the α = 0.05 level of significance.

Exercise 18

Penicillin is produced by the Penicillium fungus, which is grown in a broth whose sugar content must be carefully controlled. Several samples of broth were taken on three successive days, and the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were as follows.

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Day 1: 4.8 5.1 5.1 4.8 5.2 4.9 5.0 4.9 5.0 4.8 4.8 5.1 5.0 Day 2: 5.4 5.0 5.0 5.1 5.2 5.1 5.3 5.2 5.2 5.1 5.4 5.2 5.4 Day 3: 5.7 5.1 5.3 5.5 5.3 5.5 5.1 5.6 5.3 5.2 5.5 5.3 5.4