In a ready-mix plant, cylindrical samples are prepared and tested periodically to detect any mix problem and ensure that the compressive strength is higher than the lowest specification limit. The minimum target value was set at 4000 psi. The following compressive strength were collected in below Table. Sample Comp. No 1 2 3 4 +36769 Strength (psi) 4914 4732 5670 4310 6110 4316 5240 4950 5230 Sample No 10 II 12 13 14 15 16 17 18 Comp. Strength (psi) 4190 5770 4524 4056 5772 4270 5096 4670 5174 Sample No 19 20 21 22 23 24 25 Comp. Strength (psi) 5434 3692 4510 3680 4100 3680 3910 a) Calculate the mean and the standard deviation of the data. b) Using a spreadsheet program create a chart (strength-sample) for these data showing à target value and the lower specification limit. Is the plant production meet the specification requirement, and explain the reason from the chart?

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter11: Fracture And Fatigue
Section: Chapter Questions
Problem 11.4P
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In a ready-mix plant, cylindrical samples are prepared and tested periodically to
detect any mix problem and ensure that the compressive strength is higher than the
lowest specification limit. The minimum target value was set at 4000 psi. The
following compressive strength were collected in below Table.
Sample Comp.
No
1
2
3
4
+36769
Strength (psi)
4914
4732
5670
4310
6110
4316
5240
4950
5230
Sample
No
10
II
12
13
14
15
16
17
18
Comp.
Strength (psi)
4190
5770
4524
4056
5772
4270
5096
4670
5174
Sample
No
19
20
21
22
23
24
25
Comp.
Strength (psi)
5434
3692
4510
3680
4100
3680
3910
a) Calculate the mean and the standard deviation of the data.
b) Using a spreadsheet program create a chart (strength-sample) for these data
showing à target value and the lower specification limit. Is the plant production
meet the specification requirement, and explain the reason from the chart?
Transcribed Image Text:In a ready-mix plant, cylindrical samples are prepared and tested periodically to detect any mix problem and ensure that the compressive strength is higher than the lowest specification limit. The minimum target value was set at 4000 psi. The following compressive strength were collected in below Table. Sample Comp. No 1 2 3 4 +36769 Strength (psi) 4914 4732 5670 4310 6110 4316 5240 4950 5230 Sample No 10 II 12 13 14 15 16 17 18 Comp. Strength (psi) 4190 5770 4524 4056 5772 4270 5096 4670 5174 Sample No 19 20 21 22 23 24 25 Comp. Strength (psi) 5434 3692 4510 3680 4100 3680 3910 a) Calculate the mean and the standard deviation of the data. b) Using a spreadsheet program create a chart (strength-sample) for these data showing à target value and the lower specification limit. Is the plant production meet the specification requirement, and explain the reason from the chart?
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