An article in Technometrics [Exact Analysis of Means with Unequal Variances (2002, Vol. 44, pp. 152160)] described

An article in Technometrics [€œExact Analysis of Means with Unequal Variances€ (2002, Vol. 44, pp. 152€“160)] described the technique of the analysis of means (ANOM) and presented the results of an experiment on insulation. Four insulation types were tested at three different temperatures. The data are as follows:

(a) Write a model for this experiment.

(b) Test the appropriate hypotheses and draw conclusions using the analysis of variance with α = 0.05

(c) Graphically analyze the interaction.

(d) Analyze the residuals from the experiment.

(e) Use Fisher€™s LSD method to investigate the differences between mean effects of insulation type. Use α = 0.05.

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Temperature (°F) Insulation 3 6.6 4 4.5 2.2 2.3 0.9 2.7 6.2 5.5 2.7 5.6 4.9 1 6. 5 4.8 5.8 2.2 3.4 3 3.2 3 1.5 1.3 3.3 2.1 4.1 2.5 2.6 0.5 1.1 5.9 2.5 0.4 3.5 1.7 0.1 5.7 4.4 8.9 7.7 2.6 9.9 3.2 3.2 7.3 11.5 10.5 5.3 2.2 3 9.7 3.4 6.7 8.3 8.9 12 9.7 8 7.3 9. 8.5 10.8 10.4 9.7 8.6 11.3 7.9 7.3 10.6 7.4 2. 4)