For a study of the hardness of gold dental fillings, five randomly chosen dentists were assigned combinations of three methods of condensation and two types of gold. The hardness was measured. [See Hoaglin, Mosteller, and Tukey?s (1991)] The data are presented here. Let the dentists play the role of blocks.

(a) State the appropriate model with the assumptions.

(b) Is there a significant interaction between method of condensation and type of gold filling material?

(c) Is there one method of condensation that seems to be best? Explain.

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Block Type Dentist Method Gold Foil Goldent 824 772 792 772 782 803 803 752 715 803 772 707 3 715 792 762 724 715 2 3 606 4 673 657 946 743 690 245 634 649 715 724 724 627 123l 2.