Refer to Example 11. Ignore the covariate original reflectivity. Perform an analysis of variance take \(\alpha=0.05\)

Data From Example 11

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EXAMPLE II Creating an analysis of covariance table with one covariate Suppose that a research worker has three different cleaning agents, A1, A2, and A3, and he wishes to select the most efficient agent for cleaning a metallic surface. The cleanliness of a surface is measured by its reflectivity, expressed in arbitrary units as the ratio of the reflectivity observed to that of a standard mirror surface. Analysis of covariance must be used because the effect of a cleaning agent on reflectivity will depend on the original cleanliness, namely, the original reflectivity of the surface. The research worker obtained the following results: