12.14 Three thermometers are used regularly in a certain laboratory. To check the relative accuracies of the thermometers, they are randomly and independently placed in a cell kept at zero degrees Celsius. Each thermometer is placed in the cell four times, with the results (readings in degrees Celsius) listed below:

Are there significant differences among the means for the three thermometers? Use = 0.05.

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Thermometer 1 2 3 0.10 - 0.20 0.90 0.90 0.80 0.20 -0.80 -0.30 0.30 - 0.20 0.60 -0.30