A titrimetric method for the determination of calcium in limestone was tested by analysis of an NIST limestone containing 30.15% CaO. The mean result of four analyses was 30.26% CaO, with a standard deviation of 0.085%. By pooling data from several analyses, it was established that s   = 0.094% CaO.a. Do the data indicate the presence of a systematic error at the 95% confidence level?b. Do the data indicate the presence of systematic error at the 95% confidence level if no pooled value for s was available?

Question

A titrimetric method for the determination of calcium in limestone was tested by
analysis of an NIST limestone containing 30.15% CaO. The mean result of four analyses
was 30.26% CaO, with a standard deviation of 0.085%. By pooling data from several
analyses, it was established that s   = 0.094% CaO.
a. Do the data indicate the presence of a systematic error at the 95% confidence
level?
b. Do the data indicate the presence of systematic error at the 95% confidence
level if no pooled value for s was available?

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