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6. As the site engineer at a large construction site, you have been asked to ove

ID: 1712123 • Letter: 6

Question

6. As the site engineer at a large construction site, you have been asked to oversee the concrete production process. You are particularly worried about the slump of the concrete. If the slump is too small, it suggests the concrete is too stiff. If there is too much slump, then the concrete is too watery. The contract specifica tions state that the slump for the particular concrete used should be 1 inch, with a 90% level of confidence Therefore, during the concrete production process, you instruct the laboratory technician to take 20 ran- dom samples of fresh concrete and measure the slump using the appropriate test equipment. The technician obtained the following test results (in inches): 0.92 1.05 1.21 1.11 1.03 0.95 1.10 1.00 1.01 1.00 0.99 1.04 0.89 0.88 0.97 1.02 1.01 0.97 0.99 1.01

Explanation / Answer

If we add all the readings and take out the average, we get

AVG = (0.92+1.21+1.03+1.1+1.01+.99+0.89+0.97+1.01+0.99+1.05+1.11+0.95+1+1+1.04+0.88+1.02+0.97+1.01) / 20

= 20.15/20

= 1.0075

Which is nearly equal to 1 inch hence we can say that the samples of fresh concrete are ok. As the concrete samples will get intermixed so they will have the same slump of 1.0075, which is as per limits.

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