The accompanying summary data on CeO₂ particle sizes (nm) under certain experimental conditions was read from a graph in an article. 4.0-<4.5 4.5-5.0 27 6.5-<7.0 3 34 7.0-<7.5 4 3.0-3.5 5 5.5-6.0 13 (a) What proportion of the observations are less than 5? (Round your answer to three decimal places.) 0.617 O 3.5-4.0 16 6.0-<6.5 8 (b) What proportion of the observations are at least 6? (Round your answer to three decimal places.) 0.120 (c) Construct a histogram with relative frequency on the vertical axis. Percent 25 20 15 10 5 3 O 8 Particle Size (nm). r 3 4 5 6 7 8 5.0-<5.5 22 7.5-8.0 1 (d) Construct a histogram with density on the vertical axis. Density 0.5 0.4 0.3 0.2 0.1 Percent 25 20 15 10 5 O Particle Size 3 (nm) O Density 0.5 0.4 0.3 0.2 0.1 4 5 Compare the density histogram to the histogram in part (c). O The density histogram is less symmetrical. 8 3 4 5 6 7 8 O The density histogram is more positively skewed. O The density histogram is less negatively skewed. O Both graphs are essentially identical, other than vertical axis labeling. O The density histogram is more symmetrical. Particle Size (nm) Particle Size Percent 25 20 15 10 5 (nm). O 3 Density 0.5 0.4 0.3 0.2 0.1 O 4 5 6 7 8 Comment on interesting features. In particular, does the distribution of particle sizes appear to be reasonably symmetric or somewhat skewed? [Wote: The investigators fit a lognormal distribution to the data.] O symmetric O negatively skewed O positively skewed Particle Size (nm) 3 4 5 6 7 8 Particle Size Percent U 4 5 6 7 (nm) O 25 20 O 15 10 5 3 Density 0.5 0.4 0.3 0.2 0.1 8 3 4 5 6 7 7 8 Particle Size (nm) Particle Size (nm)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The accompanying summary data on CeO₂ particle sizes (nm) under certain experimental conditions was read from a graph in an article.
4.0-<4.5 4.5-5.0
27
6.5-<7.0
3
34
7.0-<7.5
4
3.0-3.5
5
5.5-6.0
13.
3.5-4.0
16
6.0-6.5
8
(a) What proportion of the observations are less than 5? (Round your answer to three decimal places.)
0.617
O
(b) What proportion of the observations are at least 6? (Round your answer to three decimal places.)
0.120
(c) Construct a histogram with relative frequency on the vertical axis.
Percent
Percent
25
25
20
20
15
15
10
10
5
5
O
3 4 5 6 7 8
Particle Size
(nm).
(d) Construct a histogram with density on the vertical axis.
Density
0.5
0.4
0.3
0.2
0.1
r
3 4 5 6 7 8
5.0-<5.5
22
7.5-8.0
1
O
Particle Size
3
(nm) O
Density
0.5
0.4
0.3
0.2
0.1
4
5 6 7
Compare the density histogram to the histogram in part (c).
O The density histogram is less symmetrical.
8
3 4 5 6 7 8
O The density histogram is more positively skewed.
The density histogram is less negatively skewed.
O Both graphs are essentially identical, other than vertical axis labeling.
O The density histogram is more symmetrical.
Particle Size
(nm)
Percent
25
20
15.
10
5
Particle Size
(nm).
O
3
Density
0.5
0.4
0.3
0.2
0.1
O
7
8
Particle Size
(nm).
Comment on interesting features. In particular, does the distribution of particle sizes appear to be reasonably symmetric or somewhat skewed? [Wote: The investigators fit a lognormal distribution to the data.]
O symmetric
O negatively skewed
O positively skewed
3 4 5 6 7 8
Percent
U.
4
5
6
Particle Size
O
25
20
(nm) O
15
10
5
3
Density
0.5
0.4
0.3
0.2
0.1
8
3 4 5 6 7
7 8
Particle Size
(nm)
Particle Size
(nm)
Transcribed Image Text:The accompanying summary data on CeO₂ particle sizes (nm) under certain experimental conditions was read from a graph in an article. 4.0-<4.5 4.5-5.0 27 6.5-<7.0 3 34 7.0-<7.5 4 3.0-3.5 5 5.5-6.0 13. 3.5-4.0 16 6.0-6.5 8 (a) What proportion of the observations are less than 5? (Round your answer to three decimal places.) 0.617 O (b) What proportion of the observations are at least 6? (Round your answer to three decimal places.) 0.120 (c) Construct a histogram with relative frequency on the vertical axis. Percent Percent 25 25 20 20 15 15 10 10 5 5 O 3 4 5 6 7 8 Particle Size (nm). (d) Construct a histogram with density on the vertical axis. Density 0.5 0.4 0.3 0.2 0.1 r 3 4 5 6 7 8 5.0-<5.5 22 7.5-8.0 1 O Particle Size 3 (nm) O Density 0.5 0.4 0.3 0.2 0.1 4 5 6 7 Compare the density histogram to the histogram in part (c). O The density histogram is less symmetrical. 8 3 4 5 6 7 8 O The density histogram is more positively skewed. The density histogram is less negatively skewed. O Both graphs are essentially identical, other than vertical axis labeling. O The density histogram is more symmetrical. Particle Size (nm) Percent 25 20 15. 10 5 Particle Size (nm). O 3 Density 0.5 0.4 0.3 0.2 0.1 O 7 8 Particle Size (nm). Comment on interesting features. In particular, does the distribution of particle sizes appear to be reasonably symmetric or somewhat skewed? [Wote: The investigators fit a lognormal distribution to the data.] O symmetric O negatively skewed O positively skewed 3 4 5 6 7 8 Percent U. 4 5 6 Particle Size O 25 20 (nm) O 15 10 5 3 Density 0.5 0.4 0.3 0.2 0.1 8 3 4 5 6 7 7 8 Particle Size (nm) Particle Size (nm)
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