Week 4 Extra Examples

Week 4 extra examples

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Unformatted text preview: Normal Distribution Example Specifications require that the thickness of asphalt on a road be at least 3 inches, with a standard deviation of no more than 0.15 inch. Believing that there is a quality problem involving the paving contractor, an engineer takes a single core sample, obtaining a thickness of 2.5 inches. Is the engineer’s suspicion justified? Solution: It will be assumed that asphalt thicknesses in randomly distributed core samples are approximately noramlly distributed. If specs are barely met, the mean of this dist will be 3.0 inches, and its std dev will be 0.15 inch. A measurement of 2.5 inches is 3 ­2.5 / 0.15 = 3.3 std...
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