During construction of the surface layer of asphalt pavement, two samples were taken every day to measure the asphalt content in the mix to ensure that it is within the specification limits. The target value was set at 5.5% with a tolerance of ±0.4%. The asphalt content data shown in Table P1.41 were collected: a. Calculate the mean, standard deviation, and the coefficient of variation of the data. b. Using a spreadsheet program, create a control chart for these data show- ing the target value and the upper and lower specification limits. Are the asphalt content data within the specification limits? Comment on any trend and possible reasons. TABLE P1.41 Date Asphalt Content, % Date Asphalt Content, % Oct. 15 Oct. 15 Oct. 16 Oct. 16 Oct. 17 Oct. 17 Oct. 18 Oct. 20 Oct. 20 Oct. 21 Oct. 21 Oct. 22 5.7 5.3 5.8 5.6 5.3 5.8 5.4 5.1 5.7 5.8 5.7 Oct. 22 5.9 5.6 Oct. 23 5.1 Oct. 18 5.8 Oct. 23 6.2 Oct. 19 5.4 Oct. 24 5.2 Oct. 19 5.5 Oct. 24 4.8
During construction of the surface layer of asphalt pavement, two samples were taken every day to measure the asphalt content in the mix to ensure that it is within the specification limits. The target value was set at 5.5% with a tolerance of ±0.4%. The asphalt content data shown in Table P1.41 were collected: a. Calculate the mean, standard deviation, and the coefficient of variation of the data. b. Using a spreadsheet program, create a control chart for these data show- ing the target value and the upper and lower specification limits. Are the asphalt content data within the specification limits? Comment on any trend and possible reasons. TABLE P1.41 Date Asphalt Content, % Date Asphalt Content, % Oct. 15 Oct. 15 Oct. 16 Oct. 16 Oct. 17 Oct. 17 Oct. 18 Oct. 20 Oct. 20 Oct. 21 Oct. 21 Oct. 22 5.7 5.3 5.8 5.6 5.3 5.8 5.4 5.1 5.7 5.8 5.7 Oct. 22 5.9 5.6 Oct. 23 5.1 Oct. 18 5.8 Oct. 23 6.2 Oct. 19 5.4 Oct. 24 5.2 Oct. 19 5.5 Oct. 24 4.8
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:During construction of the surface layer of asphalt pavement, two samples
were taken every day to measure the asphalt content in the mix to ensure that
it is within the specification limits. The target value was set at 5.5% with
a tolerance of ±0.4%. The asphalt content data shown in Table P1.41 were
collected:
a. Calculate the mean, standard deviation, and the coefficient of variation of
the data.
b. Using a spreadsheet program, create a control chart for these data show-
ing the target value and the upper and lower specification limits. Are the
asphalt content data within the specification limits? Comment on any
trend and possible reasons.
TABLE P1.41
Date
Asphalt Content, %
Date
Asphalt Content, %
Oct. 15
Oct. 15
Oct. 16
Oct. 16
Oct. 17
Oct. 17
Oct. 18
Oct. 20
Oct. 20
Oct. 21
Oct. 21
Oct. 22
5.7
5.3
5.8
5.6
5.3
5.8
5.4
5.1
5.7
5.8
5.7
Oct. 22
5.9
5.6
Oct. 23
5.1
Oct. 18
5.8
Oct. 23
6.2
Oct. 19
5.4
Oct. 24
5.2
Oct. 19
5.5
Oct. 24
4.8
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