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 1250 with standard deviation ?1 = 31 years. At a second, removed site, the tree-ring dates gave a mean of ?2 = year 1116 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 1225. In the second area, another object was found and dated as x2 = year 1230.   (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 =

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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 ?1 = year 1250 with standard deviation ?1 = 31 years. At a second, removed site, the tree-ring dates gave a mean of ?2 = year 1116 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 1225. In the second area, another object was found and dated as x2 = year 1230.

 

(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 =  
The Standard Normal Distribution
(μ = 0, σ = 1)
-2
-1
0
68% of area
95% of area
99.7% of area
2
3
N
Transcribed Image Text:The Standard Normal Distribution (μ = 0, σ = 1) -2 -1 0 68% of area 95% of area 99.7% of area 2 3 N
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