Question: Tree-ring dates were used extensively in archaeological studies at Burnt Mesa Pueblo (Bandelier Archaeological Excavation Project: Summer 1989 Excavations at Burnt Mesa Pueblo, edited by Kohler, Washington State University Department of Anthropology). At one site on the mesa, tree-ring dates (for many samples) gave a mean date of \({{\mu }_{1}}\)= year 1272 with standard deviation \({{\sigma }_{1}}\) = 35 years. At a second, removed site, the tree-ring dates gave a mean of \({{\mu }_{2}}\) = year 1122 with standard deviation \({{\sigma }_{2}}\) = 40 years. Assume that both sites had dates that were approximately normally distributed. In the first area, an object was found and dated as x ₁ = year 1250. In the second area, another object was found and dated as x ₂ = year 1234.

1. Convert both x ₁ and x ₂ to z values, and locate both these values under the standard normal curve of Figure 7-12.
2. Which of these two items is the more unusual as all archaeological find in its location?

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