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. 1 2 3 4 ISE 39.2 32.8 41.8 35.3 33.5 EDTA Titration 29.9 28.7 21.7 34.0 39.2 Atomic Absorption 44.0 49.2 35.1 39.7 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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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.
2
3
4
5
ISE
39.2
32.8
41.8
35.3
33.5
EDTA
Titration
29.9
28.7
21.7
34.0
39.2
Atomic
Absorption
44.0
49.2
35.1
39.7
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.
Transcribed Image Text: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. 2 3 4 5 ISE 39.2 32.8 41.8 35.3 33.5 EDTA Titration 29.9 28.7 21.7 34.0 39.2 Atomic Absorption 44.0 49.2 35.1 39.7 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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