General trace organic monitoring
describes the process in which engineers analyse water samples for
various organic materials (e.g. contaminants). The data below record
the total organic carbon concentration X in 13 water samples
collected from a river:
X:5.1 5.7 7.5 8.1 5.8 6.1 3.1 7.1 9.2 3.7
4.4 6.8 9.8Estimating the sample Cumulative
Distribution Function (CDF) by S(xi) = i/(n + 1) use the
Kolmogorov-Smirnov test to examine if these data are consistent with
coming from a Normal distribution having mean 7.0 and standard
deviation 2.0.Obtain the Normal Equivalent Deviates
corresponding to the observed values of X and use these to produce a
Q-Q plot. Does your plot indicate that these data are consistent
with coming from a Normal distribution?