A manufacturer has three machine lines (Red, White, and Blue) that produce the same product. The product can be scrutinized for eccentricity based on an evaluation process that returns a raw score indicating the product’s departure from the standard (a higher score indicates more eccentricity). Six products are chosen at random from each line.
| Red | White | Blue |
| 404.2 | 30.0 | 3.1 |
| 83.9 | 30.0 | 0.9 |
| 2.2 | 91.0 | 47.2 |
| 156.1 | 85.4 | 3.4 |
| 60.5 | 289.4 | 7.8 |
| 137.3 | 76.3 | 47.7 |
Conduct a Kruskal–Wallis test to see if the production lines appear to differ. Use a\(\style{font-family:Times New Roman;}{\chi^2}\) approximation. Select the appropriate critical value (CV), test statistic (TS), and decision. (Useα= 0.05.)
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CV = 6.47, TS = 5.9915, fail to rejectH0
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CV = 27.5871, TS = 10.56, fail to rejectH0
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CV = 7.8147, TS = 3.22, rejectH0
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CV = 5.9915, TS = 6.47, rejectH0
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