Question;
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 9.8
Estimating 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?