Five machines were designed to produce steel pipes whose diameters are to be approximately 4.0 cm. In a pilot study, six pipes produced by each machine as in the table here were chosen at random and their diameters measured. Is there any difference between the diameters of the pipes produced by different machines?  Examine the fitted values along with the normal plots of the residuals for the experiment and comment on whether the basic assumptions of the design are satisfied.

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Machine I Machine II Machine III Machine IV Machine V 3.8 3.9 3.9 4.1 4.1 3.9 3.8 4.2 3.9 4.2 3.9 4.0 4.1 4.0 4.3 3.8 4.0 4.0 4.1 4.1 3.9 4.0 3.8 4.0 4.0 3.8 3.7 4.2 3.9 3.8