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Probability, random errors

  1. Oct 20, 2008 #1
    1. The problem statement, all variables and given/known data

    An atomic force microscope measures the distance between two atoms to be 1.1nm with a standard error of 0.3nm. A second AMF measures the distance to be 1.6nm with a standard error of 0.4nm.

    The measurements are repeated 12 times with the first AMF, and 16 times with second. The means of the two sets of measurements are 1.1nm and 1.5nm.

    What is the probability that the difference in the means is due to random error?

    3. The attempt at a solution
    Difference between 1st set of data and model: 0
    Probability=1- (standard error on mean)=1-0.3/12^0.5=1-0.0866=0.913
    Likely to be correct?

    Difference between 2nd set of data and model:0.1
    Probability=1-standard error on mean=1-0.1=0.9
  2. jcsd
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