Archaeologists can determine the diets of ancient civilizations by measuring the ratio of carbon-13 to carbon-12 in bones found at burial sites. Large amounts of carbon-13 suggest a diet rich in grasses such as maize, while small amounts suggest a diet based on herbaceous plants. The article “Climate and Diet in Fremont Prehistory: Economic Variability and Abandonment of Maize Agriculture in the Great Salt Lake Basin” (J. Coltrain and S. Leavitt, American Antiquity. 2002:453–485) reports ratios, as a difference from a standard in units of ports per thousand, for bones from individuals in several age groups. The data are presented in the following table.
- a. Construct an ANOVA table. You may give a
range for the P-value. - b. Can you conclude that the concentration ratios differ among the age groups?
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