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,t <br /> Data File C:4Documents and SetlingslsmahmilMy Oocu Variable: MTBE in 0-10 feet bgs Soil <br /> (mglkg) <br /> Raw Sta.listics - Normal Distribution Test !' <br /> Number of Valid Samples 10 Shapiro-Wilk Test Statistic 0,617578 <br /> Number of Unique Samples 4 Shapiro-Wilk 5%Critical Value 0.842 <br /> Minimums 0.05 Data not normal at 5%significance level �.. <br /> Maximum 1.71 <br /> Mean 0.34 95%UCL(Assuming Normal Distribution) <br /> Median 0.05 Student's-t UCL 0.664403 .. <br /> Standard Deviation 0.559623 <br /> Variance 0,313178Gamma Distribullon Test <br /> Coefficient of Variation 1.64595 A-D Test Statistic 1.787126 <br /> Skewness 2.065448 A 5%Critical Value 0.770214 <br /> K-S Test Statistic 0.441133 <br /> Gamma Statistics K-S 5%Critical Value 0.279202 <br /> k hat 0.584614 Data do not follow gamma distribution <br /> k star(bias corrected) 0.475597 at 51/6 significance level <br /> Theta hat 0.58158 -' <br /> Theta star 0.714 441 95%UCLs(Assuming Gamma Distribution) , <br /> nu hat 11.69229 Approximate Gamma UCL 0.688559 <br /> nu star - 9.517934 Adjusted Gamma UCL 1.065289 <br /> Approx.Chi Square Value(.05) 3.641963 <br /> Adjusted Level of Significance 0.0267 Lognormal Distribution Test <br /> Adjusted Chi Square Value 3.037766 Shapiro-Wilk Test Statisitic 0.652852 <br /> t Shapiro-Wilk 5%Critical Value 0.842 <br /> 1 Log-transformed Statistics Data not lognormal at 5%significance level <br /> Minimum of log data -2.995732 <br /> Maximum of log data 0.536493 951A UCLs(Assuming Lognormal Distribution) <br /> Mean of log data -2.13978 95%H-UCL 2.155988 <br /> Standard Deviation of lag data 1.419011 95%Chebyshev(MVUE)UCL 0.838596 <br /> Variance of log data 2.013592 97.5%Chebyshev(MVUE)UCL 1.08318 <br /> 99%Chebyshev(MVUE)UCL 1.563619 <br /> 95%Non-parametric Ul <br /> CLT UCL 0.631087 <br /> Adj-CLT UCL(Adjusted for skewness) 0.754594 „ <br /> Mod-t UCL(Adjusted for skewness) 0.683667 <br /> Jackknife UCL 0.664403 <br /> Standard Bootstrap UCL NIR <br /> Bootstrap-1 UCL NIR .3 <br /> RECOMMENDATION' t Hall's Bootstrap UCL NIR <br /> Dasa are Non-parametric(3 5) Percentile Pcotstrap UCL Wit <br /> BCA Bootstrap UCL NIR <br /> Use 99%Chebyshev(Mean,Sd)UCL 95%Chebyshev(Mean,Sd)UCL tei.1113871 <br /> 97.5%Chebyshev(Mean,Sd)UCL 1.445167 - <br /> ' 99%Chebyshev(Mean,Sd)UCL 2,100812 , <br /> i Recommended UCL exceeds the maximum observation <br /> Consider using 95%or 97.5%Chebyshev(Mean,Sd)UCL <br /> } <br /> fI ' <br /> l . <br /> S . <br /> y <br />