Long description: table3
Alt text: A table summarizing calculations for a two-way analysis of variance.
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- The table contains several sections, organized by paint type and machine, showing mean values and differences.
- The top section has rows labeled 'Paint Type' (with values 1, 2, and 3) and columns labeled 'Machine' (with values 1, 2, and 3).
- Under the 'Paint Means (\(X_j\))' section, the means for each paint type are shown: 49 for paint type 1, 53 for paint type 2, and 51 for paint type 3.
- The next section, labeled '(\(X_j - \bar{X}\))', shows the difference between the paint means and the overall mean: -2 for paint type 1, 2 for paint type 2, and 0 for paint type 3.
- The bottom section, under 'Steel Alloy Means (\(X_i\))', shows means for each machine: 47 for machine 1, 54 for machine 2, and 52 for machine 3.
- Finally, the bottom-most section, labeled '(\( \bar{X}_i - \bar{X}\))', displays the difference between the machine means and the overall mean: -4, 3, and 1, with a sum indicated as 0.