Problem

A prosecuting attorney in a criminal case presented as principal evidence small fragments...

A prosecuting attorney in a criminal case presented as principal evidence small fragments of glass found imbedded in the coat of the accused. The attorney claimed that the fragments were identical in composition to a rare Belgian stained glass window broken during the crime. The average of triplicate analyses for five elements in the glass are in the table. On the basis of these data, does the defendant have grounds for claiming reasonable doubt as to guilt? Use the 99% confidence level as a criterion for doubt.

Concentration, ppm

Standard Deviation

Element

From Clothes

From Window

s → σ

As

129

119

9.5

Co

0.53

0.60

0.025

La

3.92

3.52

0.20

Sb

2.75

2.71

0.25

Th

0.61

0.73

0.043

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