Statistical Analysis Solutions


  1. Data Set 1. (3 points)

  2. This data set was sampled from a Gaussian distribution with mean 1.2 and width of 0.4 Change end cutoff to 500 One would expect sigma to be affected only by the statistical noise, but it will otherwise be unchanged. However, as more data is included, the error in the estimate of the mean should decrease. The formula for the error has a 1/sqrt(N) dependence. Moving to a sample of half the size should increase the error by sqrt(2): 0.013*1.414=0.018 which is what we see.
  3. Data Set 2. (3 points)

  4. This data set was sampled from CLAMPS Monte Carlo run.
  5. Data Set 3. (3 points)

  6. This data set was sampled from CLAMPS Monte Carlo run.