This problem deals with an example fromYouden (1962). An ingot of magnesium alloy was drawn into a square rod about 100 m long with a cross section of about 4.5 cm on a side. The rod was then cut into 100 bars, each a meter long. Five of these were selected at random, and a test piece 1.2 cm thick was cut from each. From each of these five specimens, 10 test points were selected in a particular geometric pattern. Two determinations of the magnesium content were made at each test point (the analyst ran all 50 points once and then made a set of repeat measurements). The overall purpose of the experiment was to test for homogeneity of magnesium content in the different bars and different locations. Analyze the data in the file magnesium (giving percentage of magnesium times 1000) to determine if there is significant variability between bars and between locations. There are a couple of unexpected aspects of these data—can you find them?
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