An article in Archaeometry involved an analysis of 26 samples of Romano-British pottery, found at four different kiln sites in the United Kingdom.8 Since one site only yielded two samples, consider the samples found at the other three sites. The samples were analyzed to determine their chemical composition and the percentage of iron oxide is shown next.

a. What type of experimental design is this?
b. Use an analysis of variance to determine if there is a difference in the average percentage of iron oxide at the three sites. Use a = .01.
c. If you have access to a computer program, generate the diagnostic plots for this experiment. Does it appear that any of the analysis of variance assumptions have been violated? Explain.

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Llanederyn Island Thorns Ashley Rails 7.00 5.78 7.08 5.49 7.09 6.92 6.37 6.13 7.06 6.64 6.26 6.69 4.26 6.44 1.28 2.39 1.50 1.88 1.51 1.12 1.14 .92 2.74 1.64