A car manufacturer is studying three devices for reducing fuel consumption using three different models of the car to be fitted with the devices. The data obtained are as follows:  Analyze the data as a full two-factor factorial design and test for significance of all effects at 1% level of significance.

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Device type I 123 1 2 44 30 40 55 40 48 49 50 48 40 48 45 Car models II 34 40 35 33 46 49 45 46 34 30 30 39 III 32 30 38 35 40 48 45 45 36 30 34 32