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Week 4 Extra Examples

9974 the prob of a value greater than 3 std dev from

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Unformatted text preview: dev less than the mean. Since the prob of obtaining a value within 3 std dev of the mean is give to be 0.9974, the prob of a value greater than 3 std dev from the mean is only 0.0026. The result 2.5 is in the left hand tail of the normal dist more than 3 std dev from the mean thus its probability is less than 0.0026/2 = 0.0013. I the contractor is adhering to specs. Engineer concluded that the contractor is not meeting specs. In this example the assumption was made that the asphalt thicknesses in core samples are approximately normally distributed. Before acting on the conclusion reached in the example the engineer should demonstrate that thi...
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