A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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5.8
7.3
6.3
8.2
8.7
7.8
9.7
6.8
7.7
7.0
9.7
Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are on flexural strength of concrete (in Mega Pascal, MPa, where 1 Pa (Pascal) = 1.45 × 10-4 psi):
7.2
8.1
7.4
6.5
7.0
9.0
7.6
6.8
6.3
7.9
7.8
7.7
11.6
11.5
11.8
10.8
Leaves
(a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)
Stems
5
6
7
8
9
10
11
What appears to be a representative strength value?
MPa
Do the observations appear to be highly concentrated about the representative value or rather spread out?
O highly concentrated around the representative value
○ spread out with a large range
(b) Does the display appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way?
O reasonably symmetric
O positive skewness
O negative skewness
O completely random distribution
(c) Do there appear to be any outlying strength values?
○ Yes
○ No
(d) What proportion of strength observations in this sample exceed 10 MPa? (Round your answer to two decimal places.)
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Transcribed Image Text:5.8 7.3 6.3 8.2 8.7 7.8 9.7 6.8 7.7 7.0 9.7 Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are on flexural strength of concrete (in Mega Pascal, MPa, where 1 Pa (Pascal) = 1.45 × 10-4 psi): 7.2 8.1 7.4 6.5 7.0 9.0 7.6 6.8 6.3 7.9 7.8 7.7 11.6 11.5 11.8 10.8 Leaves (a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stems 5 6 7 8 9 10 11 What appears to be a representative strength value? MPa Do the observations appear to be highly concentrated about the representative value or rather spread out? O highly concentrated around the representative value ○ spread out with a large range (b) Does the display appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way? O reasonably symmetric O positive skewness O negative skewness O completely random distribution (c) Do there appear to be any outlying strength values? ○ Yes ○ No (d) What proportion of strength observations in this sample exceed 10 MPa? (Round your answer to two decimal places.)
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