Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are from an article and are on flexural strength of concrete beams (in MegaPascal, MPa, where 1 Pa (Pascal) 1.45 x 10 psi). 5.7 7.2 7.3 6.3 8.1 6.8 7.0 7.6 6.8 6.5 7.0 6.3 7.9 9.0 8.2 8.7 7.8 9.7 7.4 7.7 9.7 7.8 7.7 11.6 11.4 11.8 10.8 The article also gave the accompanying strength observations for cylinders. 6.1 5.7 7.8 7.1 7.2 9.2 6.6 8.3 7.0 8.3 7.8 8.1 7.4 8.5 8.9 9.8 9.7 14.2 12.6 11.4 (a) Construct a comparative stem-and-leaf display by listing stems in the middle of your paper and then placing the Beam leaves out to the left and the Cylinder leaves out to the right for the beam and cylinder data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Beam Leaves Stems Cylinder Leaves 5 7x x x ✓ x x 1✓ ✓ 6 7 8 9 10 12 13 Do there appear to be any outlying strength values for the cylinders? Yes O No x x x ✓ x x ✓ Does the display for cylinders appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way? O reasonably symmetric positive skewness O negative skewness O completely random distribution x What proportion of strength observations in this sample for cylinders exceed 10 MPa? (Round your answer to two decimal places.) x (b) In what ways are the two sides of the display similar? O Both sets of data have outliers in the data. The majority of observations are between 5 and 9 MPa for both sets of data. O Neither set of data have any outliers. O The majority of observations are between 10 and 14 MPa for both sets of data. Are there any obvious differences between the beam observations and the cylinder observations? (Select all that apply.) The observations for cylinders are more variable, or spread out. The maximum value of the beams observations is higher. The maximum value of the cylinder observations is higher. The observations for beams are more variable, or spread out. x

Mathematics For Machine Technology
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Author:Peterson, John.
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Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are from an article and are on flexural strength of concrete beams (in MegaPascal, MPa, where 1 Pa (Pascal) = 1.45 X 10-4 psi).
5.7 7.2 7.3 6.3 8.1 6.8 7.0 7.6 6.8 6.5 7.0 6.3 7.9 9.0
8.2 8.7 7.8 9.7 7.4 7.7 9.7 7.8 7.7 11.6 11.4 11.8 10.8
The article also gave the accompanying strength observations for cylinders.
6.1 5.7 7.8 7.1 7.2 9.2 6.6
8.3 7.0 8.3
7.8 8.1 7.4 8.5 8.9 9.8 9.7 14.2 12.6 11.4
(a) Construct a comparative stem-and-leaf display by listing stems in the middle of your paper and then placing the Beam leaves out to the left and the Cylinder leaves out to the right for the beam and cylinder data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)
Beam Leaves Stems Cylinder Leaves
X
X
X
X
X
X
5
O No
6
7
8
9
10
11
12
13
14
Do there appear to be any outlying strength values for the cylinders?
Yes
X
X
X
X
X
Does the display for cylinders 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
X
X
What proportion of strength observations in this sample for cylinders exceed 10 MPa? (Round your answer to two decimal places.)
x
The maximum value of the cylinder observations is higher.
The observations for beams are more variable, or spread out.
X
(b) In what ways are the two sides of the display similar?
O Both sets of data have outliers in the data.
● The majority of observations are between 5 and 9 MPa for both sets of data.
O Neither set of data have any outliers.
O The majority of observations are between 10 and 14 MPa for both sets of data.
Are there any obvious differences between the beam observations and the cylinder observations? (Select all that apply.)
The observations for cylinders are more variable, or spread out.
The maximum value of the beams observations is higher.
Transcribed Image Text:Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are from an article and are on flexural strength of concrete beams (in MegaPascal, MPa, where 1 Pa (Pascal) = 1.45 X 10-4 psi). 5.7 7.2 7.3 6.3 8.1 6.8 7.0 7.6 6.8 6.5 7.0 6.3 7.9 9.0 8.2 8.7 7.8 9.7 7.4 7.7 9.7 7.8 7.7 11.6 11.4 11.8 10.8 The article also gave the accompanying strength observations for cylinders. 6.1 5.7 7.8 7.1 7.2 9.2 6.6 8.3 7.0 8.3 7.8 8.1 7.4 8.5 8.9 9.8 9.7 14.2 12.6 11.4 (a) Construct a comparative stem-and-leaf display by listing stems in the middle of your paper and then placing the Beam leaves out to the left and the Cylinder leaves out to the right for the beam and cylinder data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Beam Leaves Stems Cylinder Leaves X X X X X X 5 O No 6 7 8 9 10 11 12 13 14 Do there appear to be any outlying strength values for the cylinders? Yes X X X X X Does the display for cylinders 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 X X What proportion of strength observations in this sample for cylinders exceed 10 MPa? (Round your answer to two decimal places.) x The maximum value of the cylinder observations is higher. The observations for beams are more variable, or spread out. X (b) In what ways are the two sides of the display similar? O Both sets of data have outliers in the data. ● The majority of observations are between 5 and 9 MPa for both sets of data. O Neither set of data have any outliers. O The majority of observations are between 10 and 14 MPa for both sets of data. Are there any obvious differences between the beam observations and the cylinder observations? (Select all that apply.) The observations for cylinders are more variable, or spread out. The maximum value of the beams observations is higher.
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