Five different laboratories participated in an interlaboratory study involving determinations of the iron level in water samples. The results below are replicate determinations of Fe in ppm for laboratories A through E
Result No. | Lab A | Lab B | Lab C | Lab D | Lab E |
1 | 10.3 | 9.5 | 10.1 | 8.6 | 10.6 |
2 | 11.4 | 9.9 | 10.0 | 9.3 | 10.5 |
3 | 9.8 | 9.6 | 10.4 | 9.2 | 11.1 |
(a) State the appropriate hypotheses.
(b) Do the laboratories differ at the 95% confidence level? At the 99% confidence level (Fcrit = 5.99)? At the 99.9% confidence level (Fcrit = 11.28)?
(c) Which laboratories are different from each other at the 95% confidence level?
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