14.13. A process engineer is testing the yield of a product manufactured on three machines. Each machine can be operated at two power settings. Furthermore, a machine has three stations on which the product is formed. An experiment is conducted in which each machine is tested at both power settings, and three observations on yield are taken from each station. The runs are made in random order, and the results are shown in Table P14.1.

Analyze this experiment, assuming that all three factors are fixed.

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Machine 1 Machine 2 Station 1 2 3 1 2 3 Power 34.1 33.7 36.2 31.1 33.1 32.8 setting 1 30.3 34.9 36.8 33.5 34.7 35.1 31.6 35.0 37.1 34.0 33.9 34.3 Power 24.3 28.1 25.7 24.1 24.1 26.0 setting 2 26.3 29.3 26.1 25.0 25.1 27.1 27.1 28.6 24.9 26.3 27.9 23.9 Machine 3 Station 1 2 3 Power 32.9 33.8 33.6 setting 1 33.0 33.4 32.8 33.1 32.8 31.7 Power 24.2 23.2 24.7 setting 2 26.1 27.4 22.0 25.3 28.0 24.8