In a ready-mix plant, cylindrical samples are prepared and tested periodi- cally to detect any mix problem and to ensure that the compressive strength is higher than the lower specification limit. The minimum target value was set at 34 MPa. The compressive strength data shown in Table P1.40 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 showing the lower specification limit. Is the plant production meeting the specifica- tion requirement? If not, comment on possible reasons. Comment on the data scatter. TABLE P1.40 Compressive Strength (MPa) Compressive Strength (MPa) Sample No. Sample No. 1 38.6 11 46.1 2 35.4 12 37.6 3 43.8 13 36.4 4 35.8 14 46.2 5 35.77 15 35.8 6 36.1 16 41.5 7 41.1 17 36.7 8 40.5 18 39.0 42.4 19 45.5 10 35.3 20 36.1 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.

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In a ready-mix plant, cylindrical samples are prepared and tested periodi-
cally to detect any mix problem and to ensure that the compressive strength is
higher than the lower specification limit. The minimum target value was set at
34 MPa. The compressive strength data shown in Table P1.40 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 showing
the lower specification limit. Is the plant production meeting the specifica-
tion requirement? If not, comment on possible reasons. Comment on the
data scatter.
TABLE P1.40
Compressive
Strength (MPa)
Compressive
Strength (MPa)
Sample No.
Sample No.
1
38.6
11
46.1
2
35.4
12
37.6
3
43.8
13
36.4
4
35.8
14
46.2
5
35.77
15
35.8
6
36.1
16
41.5
7
41.1
17
36.7
8
40.5
18
39.0
42.4
19
45.5
10
35.3
20
36.1
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.
Transcribed Image Text:In a ready-mix plant, cylindrical samples are prepared and tested periodi- cally to detect any mix problem and to ensure that the compressive strength is higher than the lower specification limit. The minimum target value was set at 34 MPa. The compressive strength data shown in Table P1.40 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 showing the lower specification limit. Is the plant production meeting the specifica- tion requirement? If not, comment on possible reasons. Comment on the data scatter. TABLE P1.40 Compressive Strength (MPa) Compressive Strength (MPa) Sample No. Sample No. 1 38.6 11 46.1 2 35.4 12 37.6 3 43.8 13 36.4 4 35.8 14 46.2 5 35.77 15 35.8 6 36.1 16 41.5 7 41.1 17 36.7 8 40.5 18 39.0 42.4 19 45.5 10 35.3 20 36.1 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.
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