(a) For chemical Z, describe how the percents found in the pieces of pottery are similar and how they differ among the three sites. (b) Consider a piece of pottery known to have originated at one of the three sites, but the actual site is not known. (i) Suppose an analysis of the clay reveals that the sum of the percents of the three chemicals X, Y, and Z is 20.5%. Based on the boxplots, which site-I, II, or III-is the most likely site where the piece of pottery originated? Justify your choice. (ii) Suppose only one chemical could be analyzed in the piece of pottery. Which chemical-X, Y, or Z- would be the most useful in identifying the site where the piece of pottery originated? Justify your choice.

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
Question
4. The chemicals in clay used to make pottery can differ depending on the geographical region where the clay
originated. Sometimes, archaeologists use a chemical analysis of clay to help identify where a piece of pottery
originated. Such an analysis measures the amount of a chemical in the clay as a percent of the total weight of the
piece of pottery. The boxplots below summarize analyses done for three chemicals-X, Y, and Z-on pieces of
pottery that originated at one of three sites: I, II, or III.
Site I
Site II
Site III
16
16
Site I
14
Site II
14
Site III
12
12
10
10
卓
Y
Y
Chemical
Y
Chemical
Chemical
(a) For chemical Z, describe how the percents found in the pieces of pottery are similar and how they differ
among the three sites.
(b) Consider a piece of pottery known to have originated at one of the three sites, but the actual site is not
known.
(i) Suppose an analysis of the clay reveals that the sum of the percents of the three chemicals X, Y, and z
is 20.5%. Based on the boxplots, which site-I, II, or III-is the most likely site where the piece of
pottery originated? Justify your choice.
(ii) Suppose only one chemical could be analyzed in the piece of pottery. Which chemical-X, Y, or Z–
would be the most useful in identifying the site where the piece of pottery originated? Justify your
choice.
Percent of Total Weight
Percent of Total Weight
Transcribed Image Text:4. The chemicals in clay used to make pottery can differ depending on the geographical region where the clay originated. Sometimes, archaeologists use a chemical analysis of clay to help identify where a piece of pottery originated. Such an analysis measures the amount of a chemical in the clay as a percent of the total weight of the piece of pottery. The boxplots below summarize analyses done for three chemicals-X, Y, and Z-on pieces of pottery that originated at one of three sites: I, II, or III. Site I Site II Site III 16 16 Site I 14 Site II 14 Site III 12 12 10 10 卓 Y Y Chemical Y Chemical Chemical (a) For chemical Z, describe how the percents found in the pieces of pottery are similar and how they differ among the three sites. (b) Consider a piece of pottery known to have originated at one of the three sites, but the actual site is not known. (i) Suppose an analysis of the clay reveals that the sum of the percents of the three chemicals X, Y, and z is 20.5%. Based on the boxplots, which site-I, II, or III-is the most likely site where the piece of pottery originated? Justify your choice. (ii) Suppose only one chemical could be analyzed in the piece of pottery. Which chemical-X, Y, or Z– would be the most useful in identifying the site where the piece of pottery originated? Justify your choice. Percent of Total Weight Percent of Total Weight
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
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