What is the estimated relative standard deviation for the results of a collaborative

Question

What is the estimated relative standard deviation for the results of a collaborative study in which the sample is pure analyte [latex](100 \% \mathrm{w} / \mathrm{w}[/latex] analyte)? Repeat for the case in which the analyte's concentration is [latex]0.1 \% \mathrm{w} / \mathrm{w}[/latex].

Accepted Answer

When the sample is [latex]100 \% \mathrm{w} / \mathrm{w}[/latex] analyte [latex](C=1)[/latex], the estimated percent relative standard deviation is

[latex]R=2^{[1-0.5 \log (1)]}=2 \%[/latex]

Thus, we expect that approximately [latex]67 \%[/latex] of the participants in the collaborative study [latex]( \pm 1 \sigma)[/latex] will report the analyte's concentration within the range of [latex]98 \% \mathrm{w} / \mathrm{w}[/latex] to [latex]102 \% \mathrm{w} / \mathrm{w}[/latex]. When the analyte's concentration is [latex]0.1 \% \mathrm{w} / \mathrm{w}(C=0.001)[/latex], the estimated percent relative standard deviation is

[latex]\mathrm{R}=2^{[1-0.5 \log (0.001)]}=5.7 \%[/latex]

and we expect that [latex]67 \%[/latex] of the analysts will report the analyte's concentration within the range of [latex]0.094 \% \mathrm{w} / \mathrm{w}[/latex] to [latex]0.106 \% \mathrm{w} / \mathrm{w}[/latex].

Question 14.11: What is the estimated relative standard deviation for the re...

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