Solution Found!
Answer: Automated electron backscattered diffraction is
Chapter 1, Problem 26E(choose chapter or problem)
Problem 26E
Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information on misorientation angle (degrees) was extracted from the article “Observations on the Faceted Initiation Site in the Dwell-Fatigue Tested Ti-6242 Alloy: Crystallographic Orientation and Size Effects (Metallurgical and Materials Trans., 2006: 1507–1518).
a. Is it true that more than 50% of the sampled angles are smaller than 15°, as asserted in the paper?
b. What proportion of the sampled angles are at least 30°?
c. Roughly what proportion of angles are between 10° and 25°?
d. Construct a histogram and comment on any interesting features.
Questions & Answers
QUESTION:
Problem 26E
Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information on misorientation angle (degrees) was extracted from the article “Observations on the Faceted Initiation Site in the Dwell-Fatigue Tested Ti-6242 Alloy: Crystallographic Orientation and Size Effects (Metallurgical and Materials Trans., 2006: 1507–1518).
a. Is it true that more than 50% of the sampled angles are smaller than 15°, as asserted in the paper?
b. What proportion of the sampled angles are at least 30°?
c. Roughly what proportion of angles are between 10° and 25°?
d. Construct a histogram and comment on any interesting features.
ANSWER:
Answer:
Step1:
The given information on misorientation angle (degrees) was extracted from the article “Observations on the Faceted Initiation Site in the Dwell-Fatigue Tested Ti-6242 Alloy: Crystallographic Orientation and Size Effects (Metallurgical and Materials Trans., 2006: 1507–1518).
Class |
Relative frequency |
0-5 |
0.177 |
5-10 |
0.166 |
10-15 |
0.175 |
15-20 |
0.136 |
20-30 |