In order to test the wear on four hyperalloys, a test piece of each alloy was extracted from each of the three positions of a test machine. The reduction of weight in milligrams due to wear was determined on each piece, and the data are given in Table.
At α = 0.05, test the following hypotheses, regarding the positions as blocks:
(a) There is no difference in average wear for each material.
(b) There is no difference in average wear for each position.
(c) Interpret your ?nal result and state any assumptions that were necessary to solve the problem.
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Table: Loss in Weights Due to Wear Testing of Four Materials (in mg)
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Position
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Type of alloy
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1
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2
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3
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1
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241
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270
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274
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2
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195
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241
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218
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3
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235
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273
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230
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4
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234
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236
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227
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