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 as
x
₁
= year 1207. In the second area, another object was found and dated as
x
₂
= year 1244.

(a) Convert both
x1 and
x2 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.)

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.)