StarGazer28
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Five samples of a ferrous-type substance are to be used to determine if there is a
difference between a laboratory chemical analysis and an x-ray fluorescence analysis
of the iron content. Each sample was split into two subsamples and the two types of
analysis were applied. Following are the coded data showing the iron content analysis:
Sample
Analysis: 1 - 2 - 3 - 4 - 5
X - ray : 2.0 - 2.0 - 2.3 - 2.1 - 2.4 Mean: 2.2 Variance: 0.03
Chemical: 2.2 - 1.9 - 2.5 - 2.3 - 2.4 Mean: 2.3 Variance: 0.05
Assuming that the populations are normal, test at the 0.05 level of significance whether
the two methods of analysis give, on the average, the same result.
difference between a laboratory chemical analysis and an x-ray fluorescence analysis
of the iron content. Each sample was split into two subsamples and the two types of
analysis were applied. Following are the coded data showing the iron content analysis:
Sample
Analysis: 1 - 2 - 3 - 4 - 5
X - ray : 2.0 - 2.0 - 2.3 - 2.1 - 2.4 Mean: 2.2 Variance: 0.03
Chemical: 2.2 - 1.9 - 2.5 - 2.3 - 2.4 Mean: 2.3 Variance: 0.05
Assuming that the populations are normal, test at the 0.05 level of significance whether
the two methods of analysis give, on the average, the same result.