[Solution Library] Five different minerals were added to molten steel during a manufacturing process. For each of these five treatments, three steel ingots were
Question: Five different minerals were added to molten steel during a manufacturing process. For each of these five treatments, three steel ingots were cast and their breaking strengths (kN) determined in a standard test. The results are summarised below together with treatment means and the grand mean:
| Treatment | A | B | C | D | E |
| 14 | 17 | 14 | 19 | 10 | |
| 11 | 16 | 16 | 21 | 14 | |
| 11 | 12 | 18 | 20 | 12 | |
| Mean | 12 | 15 | 16 | 20 | 12 |
| Grand Mean | 15 |
- Calculate the Within Treatment (Residual) Sum of Squares. (4 marks)
- The Crude Sum of Squares is 3545. Construct the ANOVA table. (12 marks)
(c) Are there significant differences between the treatment means? State clearly the Null and Alternative Hypotheses and your conclusion.
(9 marks)
Deliverable: Word Document 