Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information is on misorientation angle (degrees). Class: 0-<5 5-<10 10-<15 15-<20 20-<30 30-<40 40-<60 60-<90 Rel freq: 0.179 0.164 0.177 0.130 0.190 0.080 0.047 0.033 (a) Is it true that more than 50% of the sampled angles are smaller than 15°, as asserted by researchers? ○ Yes, the proportion of sampled angles smaller than 15° is greater than 0.50. Yes, the proportion of sampled angles smaller than 15° is not greater than 0.50. No, the proportion of sampled angles smaller than 15° is greater than 0.50. ○ No, the proportion of sampled angles smaller than 15° is not greater than 0.50. (b) What proportion of the sampled angles are at least 30°? (Round your answer to three decimal places.) (c) Roughly what proportion of angles are between 10° and 25°? (Round your answer to three decimal places.) (d) Construct a histogram. Density 0.03 0.02 0.01 Density 0.04 0.03 0.02 0.01 Angle 10 20 40 60 90 Angle 10 20 40 60 90 Density 0.03 0.02 0.01 Density 0.03 0.02 0.01 Comment on any interesting features. (Select all that apply.) ☐ ☐ ☐ ☐ The distribution of misorientation angles is bimodal. Without more precise information, we cannot tell if the data contain outliers. There are two obvious outliers. The distribution of misorientation angles is approximately symmetric. The distribution of misorientation angles is heavily negatively skewed. The distribution of misorientation angles is heavily positively skewed. Angle 10 20 40 60 90 Angle 10 20 40 60 90

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Author:HOLT MCDOUGAL
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Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
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Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information is on misorientation angle (degrees).
Class:
0-<5 5-<10 10-<15 15-<20 20-<30 30-<40 40-<60 60-<90
Rel freq: 0.179 0.164
0.177
0.130 0.190 0.080
0.047
0.033
(a) Is it true that more than 50% of the sampled angles are smaller than 15°, as asserted by researchers?
○ Yes, the proportion of sampled angles smaller than 15° is greater than 0.50.
Yes, the proportion of sampled angles smaller than 15° is not greater than 0.50.
No, the proportion of sampled angles smaller than 15° is greater than 0.50.
○ No, the proportion of sampled angles smaller than 15° is not greater than 0.50.
(b) What proportion of the sampled angles are at least 30°? (Round your answer to three decimal places.)
(c) Roughly what proportion of angles are between 10° and 25°? (Round your answer to three decimal places.)
(d) Construct a histogram.
Density
0.03
0.02
0.01
Density
0.04
0.03
0.02
0.01
Angle
10 20
40
60
90
Angle
10 20
40
60
90
Density
0.03
0.02
0.01
Density
0.03
0.02
0.01
Comment on any interesting features. (Select all that apply.)
☐ ☐ ☐ ☐
The distribution of misorientation angles is bimodal.
Without more precise information, we cannot tell if the data contain outliers.
There are two obvious outliers.
The distribution of misorientation angles is approximately symmetric.
The distribution of misorientation angles is heavily negatively skewed.
The distribution of misorientation angles is heavily positively skewed.
Angle
10 20
40
60
90
Angle
10 20
40
60
90
Transcribed Image Text:Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information is on misorientation angle (degrees). Class: 0-<5 5-<10 10-<15 15-<20 20-<30 30-<40 40-<60 60-<90 Rel freq: 0.179 0.164 0.177 0.130 0.190 0.080 0.047 0.033 (a) Is it true that more than 50% of the sampled angles are smaller than 15°, as asserted by researchers? ○ Yes, the proportion of sampled angles smaller than 15° is greater than 0.50. Yes, the proportion of sampled angles smaller than 15° is not greater than 0.50. No, the proportion of sampled angles smaller than 15° is greater than 0.50. ○ No, the proportion of sampled angles smaller than 15° is not greater than 0.50. (b) What proportion of the sampled angles are at least 30°? (Round your answer to three decimal places.) (c) Roughly what proportion of angles are between 10° and 25°? (Round your answer to three decimal places.) (d) Construct a histogram. Density 0.03 0.02 0.01 Density 0.04 0.03 0.02 0.01 Angle 10 20 40 60 90 Angle 10 20 40 60 90 Density 0.03 0.02 0.01 Density 0.03 0.02 0.01 Comment on any interesting features. (Select all that apply.) ☐ ☐ ☐ ☐ The distribution of misorientation angles is bimodal. Without more precise information, we cannot tell if the data contain outliers. There are two obvious outliers. The distribution of misorientation angles is approximately symmetric. The distribution of misorientation angles is heavily negatively skewed. The distribution of misorientation angles is heavily positively skewed. Angle 10 20 40 60 90 Angle 10 20 40 60 90
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