Three different analytical methods are compared for determining Ca in a biological sample. The laboratory is interested in knowing whether the methods differ. The results shown below represent Ca results in ppm determined by an ion-selective electrode (ISE) method, by EDTA titration, and by atomic absorption spectrometry:
Repetition No. | ISE | EDTA Titration | Atomic Absorption |
1 | 39.2 | 29.9 | 44.0 |
2 | 32.8 | 28.7 | 49.2 |
3 | 41.8 | 21.7 | 35.1 |
4 | 35.3 | 34.0 | 39.7 |
5 | 33.5 | 39.2 | 45.9 |
(a) State the null and alternative hypotheses.
(b) Determine whether there are differences in the three methods at the 95% and 99% confidence levels.
(c) If a difference was found at the 95% confidence level, determine which methods differ from each other.
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