As part of an analytical chemistry laboratory course, a student measured the Ca2+ content in two water samples, city-supplied drinking water and well-supplied drinking water, using two different analytical methods, flame atomic absorption spectrometry (FAAS) and EDTA complexometric titration. The results of this experiment are given in the table as the mean Ca2+concentration (?¯) and standard deviation (?) in parts per million (ppm). Each sample was measured five times (n=5) by each method. Method City-Supplied Drinking Water (?¯±?x¯±s) Well-Supplied Drinking Water (?¯±?x¯±s) FAAS 57.57±0.68 ppm 64.77±0.70 ppm EDTA titration 58.32±0.96 ppm 65.62±0.97 ppm Method Comparison: For each drinking water sample (city and well), compare the Ca2+ content measured by FAAS and EDTA titration. Calculate the ? value for each sample.

Fundamentals Of Analytical Chemistry
9th Edition
ISBN:9781285640686
Author:Skoog
Publisher:Skoog
Chapter6: Random Errors In Chemical Analysis
Section: Chapter Questions
Problem 6.15QAP
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As part of an analytical chemistry laboratory course, a student measured the Ca2+ content in two water samples, city-supplied drinking water and well-supplied drinking water, using two different analytical methods, flame atomic absorption spectrometry (FAAS) and EDTA complexometric titration. The results of this experiment are given in the table as the mean Ca2+concentration (?¯) and standard deviation (?) in parts per million (ppm). Each sample was measured five times (n=5) by each method.

Method City-Supplied Drinking Water (?¯±?x¯±s) Well-Supplied Drinking Water (?¯±?x¯±s)
FAAS 57.57±0.68 ppm 64.77±0.70 ppm
EDTA titration 58.32±0.96 ppm 65.62±0.97 ppm

Method Comparison: For each drinking water sample (city and well), compare the Ca2+ content measured by FAAS and EDTA titration. Calculate the ? value for each sample.

Do the methods produce statistically different results at the 95% confidence level when measuring the Ca2+content of the city-supplied drinking water?

Do the methods produce statistically different results at the 95% confidence level when measuring the Ca2+ content of the well-supplied drinking water?

Sample Comparison: For each method (FAAS and EDTA titration), compare the Ca2+content measured in the city-supplied and well-supplied drinking water samples. Calculate the ? value for each method.

Do the drinking water samples contain statistically different amounts of Ca2+ at the 95% confidence level when measured by FAAS?

Do the drinking water samples contain statistically different amounts of Ca2+at the 95% confidence level when measured by EDTA titration?

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