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C � - <br /> Data File CADocuments and Setfingslsmahinitivty Docu Variable: Ethylbenzene in Soil 0-10 feet bgs <br /> (n19�9) <br /> Raw Statistics Normal Distribution Test <br /> Number of Valid Samples 10 Shapiro-Wilk Test Statistic 0.529171 I <br /> Number of Unique Samples 5 Shapiro-Wilk 5%Critical Value 0.842 <br /> Minimum 0.0025 Data not normal at 5%significance level <br /> Maximum 78- <br /> Mean 11.43724: 951/.UCL(Assuming Normal Distribution) <br /> Median 0.0025 Students-t UCL <br /> 26.4941 <br /> Standard Deviation 25.97438 <br /> Variance .. 674.6687 Gamma Dis,ributlun Test <br /> Coefficient of Variation 2.271036 A-D Test Statistic 1.x15983 <br /> Skewness 2,361078:, A-D 5%Critical Value 0.876513 <br /> K-S Test Statistic 0.395515 <br /> Gamma Statistics K-S 5%Critical Value 0.296962 <br /> k hat - - 0.133909 : Data do not follow gamma distribution <br /> k star(bias corrected) 0.160403 at 5%significance level <br /> Theta hat 85.41031 <br /> Theta star 71,30306 95%UCLs(Assuming Gamma Distribution) <br /> nu hat 2.678187 Approximate Gamma UCL 84.07045 <br /> nu star 3.208064 Adjusted Gamma UCL 121.7861 <br /> Approx.Chi Square Value(.05) 0.436436 <br /> Adjusted Level of Significance 0.0267 Lognormal Distribution Test <br /> Adjusted Chi Square Value 0.301277- Shapiro-Wilk Test Statisitic 0.673117 <br /> Shapiro-Wilk 5%Critical Value 0.842 _ <br /> Log-transformed Statistics Data not lognormal nt 5%significance level ; <br /> Minimum of log data -5,991465. - <br /> Maximum of log data 4,356709 95%ll(Assuming Lognormal Distribution) <br /> Mean of log data - -3.396466 95%H-UCL 7.24E+08 <br /> Standard Deviation of log data 4.176951 95%Chebyshev(MVUE)UCL: 39.24913 <br /> Variance of log data 17.44692 97.5%Chebyshev(MVUE)UCL 52.94852 <br /> 99%Chebyshev(MVUE)UCL 79.85832 <br /> A <br /> 95%Non-parametric UCLs <br /> CLT UCL 24.94777 <br /> Adj-CLT UCL(Adjusted for skewness) 31.50071 <br /> Mod-t UCL(Adjusted for skewness) 27.51623 <br /> Jackknife UCL 26.4941 <br /> Standard Bootstrap UCL g24,31798 <br /> Bootstl UCL 2709.888 <br /> RFC0MVEIJDATION Hall's Bootstrap UCL 3292,439 <br /> Data are Nan-parametric(0.05) Percentile Dootsbap UCL 2CA3649 <br /> BCA Bootstrap UCL 31.23625 <br /> Use Hall's,Bootstrap UCL '95%Chebyshev(Mean,Sd)UCL 47.24046 <br /> 97.5%Chebyshev(Mean,Sd)UCL 62.73254 <br /> Recommended UCL exceeds the maximum c 99%Chebyshev(Mean,Sd)UCL 93.16373 <br /> In case Hall's Bootstrap method yields <br /> an erratic,unreasonably large UCL value, <br /> use 99%Chebyshev(Mean,Sd)UCL <br /> A <br /> f <br /> I� <br /> I <br /> . I <br /> 1 <br /> i <br /> 1 <br /> . I <br />