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A company that stamps gaskets out of cork sheets and wants tocompare the mean number of gaskets produced per hour for threedifferent types of stamping machines. The company wants to use thedata to determine whether one machine is more productive than theother. To answer these questions, the manufacturer decides toconduct an experiment with each of the machines operating for six1-hour time periods assigned in a random order to eliminate thepossibility of bias. The data for the experiment, the number ofgaskets (in thousands) produced per hour is shown below. (a) Statethe hypotheses and conduct an analysis of variance at α = 0.05 totest the hypotheses. Create a boxplots of the data as part of theoneway ANOVA. (b) Plot and analyze the residuals from theexperiment and comment on model adequacy. (c) Is there sufficientevidence to indicate that any machine is more productive than theothers? Machine 1 Machine 2 Machine 3 431 427 440 436 442 448 401394 389 404 441 418 421 409 418 425 393 422
