Tree-ring dates were used extensively in archaeological studies at Burnt Mesa Pueblo. At one site on the mesa, tree-ring dates (for many samples) gave a mean date of₁= year1269with standard deviation₁=39years. At a second, removed site, the tree-ring dates gave a mean of₂= year1104with standard deviation₂=36years. Assume that both sites had dates that were approximately normally distributed. In the first area, an object was found and dated asx₁= y

(a) Convert bothx₁andx₂tozvalues, and locate both of these values under the standard normal curve of the figure above. (Round your answers to two decimal places.)

z₁=

z₂=

(b) Which of these two items is the more unusual as an archaeological find in its location?

x₁; the further azvalue is from zero, the more unusual it is.x₂; the further azvalue is from zero, the more unusual it is.x₁; the closer azvalue is to zero, the more unusual it is.x₂; the closer azvalue is to zero, the more unusual it is.

ear1224. In the second area, another object was found and dated asx₂= year1245.