A titrimetric method for the determination of calcium in limestone was tested with the analysis of a NIST limestone containing 30.15% CaO. The mean of the four analyzes is 30.26% CaO with a standard deviation of 0.085%. From the data accumulated from many analyzes, s→ϭ=0.094% CaO was found. a) Do the data indicate the presence of systematic error at the 95% confidence level? b) When a value for ϭ is unknown, do the data show a systematic error at the 95% confidence level?

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A titrimetric method for the determination of calcium in limestone was tested with the analysis of a NIST limestone containing 30.15% CaO. The mean of the four analyzes is 30.26% CaO with a standard deviation of 0.085%. From the data accumulated from many analyzes, s→ϭ=0.094% CaO was found.
a) Do the data indicate the presence of systematic error at the 95% confidence level?
b) When a value for ϭ is unknown, do the data show a systematic error at the 95% confidence level?

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