Answered: many samples) gave a mean date of ?1 =…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 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 x₁ = year 1207. In the second area, another object was found and dated as x₂ = 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 = ???

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.)

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