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 = ???

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

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.)
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 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.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman