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 of ? 1 = year 1261 with standard...

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 of ?₁ = year 1261 with standard deviation ?₁ = 38 years. At a second, removed site, the tree-ring dates gave a mean of ?₂ = year 1100 with standard deviation ?₂ = 35 years. Assume that both sites had dates that were approximately normally distributed. In the first area, an object was found and dated asx
₁ = year 1207. In the second area, another object was found and dated asx
₂ = year 1244.

(a) Convert bothx1 andx2 toz values, and locate both of these values under the standard normal curve of the figure above. (Round your answers to two decimal places.)

z1 = -1.42

z2 = ???

Extracted text: 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 of u, = year 1261 with standard deviation o, = 38 years. At a second, removed site, the tree-ring dates gave a mean of u, = year 1100 with standard deviation o, = 35 years. Assume that both sites had dates that were approximately normally distributed. In the first area, an object was found and dated as x, = year 1207. In the second area, another object was found and dated as x, = year 1244. The Standard Normal Distribution (u = 0, o = 1) -2 2 68% of area 95% of area 99.7% of area (a) Convert both x, and x, to z values, and locate both of these values under the standard normal curve of the figure above. (Round your answers to two decimal places.)