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 μ₁ = year 1259 with standard deviation ₁ = 35 years. At a second, removed site, the tree-ring dates gave a mean of μ₂ = year 1101 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 x₁ = year 1202. In the second area, another object was found and dated as x₂ = year 1246. The Standard Normal Distribution (u=0, σ= 1) 0 68% of area 95% of area 99.7% of area 1 2 (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 = Z2 (b) Which of these two items is the more unusual as an archaeological find in its location? O x₁; the further a z value is from zero, the more unusual it is. O x₂; the further a z value is from zero, the more unusual it is. Ox₁; the closer a z value is to zero, the more unusual it is. O x₂; the closer a z value is to zero, the more unusual it is.

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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 μ₁ = year 1259 with standard deviation ₁ = 35 years. At a second, removed site, the
tree-ring dates gave a mean of μ₂ = year 1101 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 x₁ = year 1202. In the second area,
another object was found and dated as x₂ = year 1246.
The Standard Normal Distribution
(u= 0, σ = 1)
O
-3
-2
O
0
68% of area
95% of area
99.7% of area
2
(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 =
Z2
3
(b) Which of these two items is the more unusual as an archaeological find in its location?
O x₁; the further a z value is from zero, the more unusual it is.
X₂i
the further a z value is from zero, the more unusual it is.
O
X₁i the closer a z value is to zero, the more unusual it is.
X2i
the closer a z value is to zero, the more unusual it is.
Transcribed Image 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 μ₁ = year 1259 with standard deviation ₁ = 35 years. At a second, removed site, the tree-ring dates gave a mean of μ₂ = year 1101 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 x₁ = year 1202. In the second area, another object was found and dated as x₂ = year 1246. The Standard Normal Distribution (u= 0, σ = 1) O -3 -2 O 0 68% of area 95% of area 99.7% of area 2 (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 = Z2 3 (b) Which of these two items is the more unusual as an archaeological find in its location? O x₁; the further a z value is from zero, the more unusual it is. X₂i the further a z value is from zero, the more unusual it is. O X₁i the closer a z value is to zero, the more unusual it is. X2i the closer a z value is to zero, the more unusual it is.
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