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The article “The Ball-on-Three-Ball Test for Tensile

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 19SE Chapter 1

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 19SE

Problem 19SE

The article “The Ball-on-Three-Ball Test for Tensile Strength: Refined Methodology and Results for Three Hohokam Ceramic Types” (M. Beck, American Antiquity, 2002:558-569) discusses the strength of ancient ceramics. Several specimens of each of three types of ceramic were tested. The loads (in kg) required to crack the specimens are as follows:

Ceramic Type

Loads (kg)

Sacaton

15.30,51,20. 17, 19, 20,

32. 17,15,23, 19. 15. 18,

16, 22,29, 15, 13, 15

Gila Plain

27. 18, 28,25, 55,21, 18,

34,23, 30,20, 30,31,25,

28, 26,17,19, 16, 24,19,

9,31, 19, 27, 20, 43.15

Casa Grande

20,16,20, 36, 27, 35,

66,15,18,24,21,30,

20,24, 23,21, 13,21

a.         Construct comparative boxplots for the three samples.

b.        How many outliers does each sample contain?

c. Comment on the features of the three samples.

Step-by-Step Solution:

Step 1 of 4:

Here the data regarding loads(in kg) required to crack specimens of three types of ceramic were given.

The data is as follows.

                                                Loads( in kg)

15,30,51,20,17,19,20,32,17,15,23,19,15,18,16,22,29,15,13,15.

27,18,28,25,55,21,18,34,23,30,20,30,31,25,28,26,17,19,16,24,9,19,31,19,27,20,43,15

20,16,20,36,27,35,66,15,18,24,21,30,20,24,23,21,13,21.


Step 2 of 4

Chapter 1, Problem 19SE is Solved
Step 3 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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