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step, a standard deviation (transformed) was computed from the <br />transformed values of each waste component. <br />From these values a single pooled estimated standard deviation <br />was obtained, s = 0.1201, for all transformed observations. In <br />addition to these steps, it should be noted that all formulas <br />require calculations to be performed in radians. <br />CALCULATIONS : <br />The bulk of the calculations were performed in order to obtain <br />a transformed standard deviation for the county study. The <br />standard deviation was a critical step since it is needed in the <br />formula to determine the number of samples required for composition <br />analysis. The formula as given in the article by Klee and Carruth <br />is as follows : <br />n = [(z*s)/d]^2 [1] <br />where as noted earlier, <br />n = number of samples <br />z = confidence level (900) = 1.645 <br />s = std. dev. = 0.1201 <br />d = sensitivity (defined below) <br />The sensitivity (d), transformed basis, is an additional <br />variable which influences the sample formula with respect to the <br />actual percent of the component and a desired precision about the <br />percent. The actual formula for the sensitivity is: <br />d = 12*aresin(X)^0.5 - 2*aresin(X +/- )^0.5; [2] <br />The variable X is the actual percentage of the component in <br />question and is the desired precision about the percent. The plus <br />or minus convention on the second half of the sensitivity formula <br />is determined using Table 5 (Aresin Transformation) provided for in <br />Klee and Carruth's article. <br />Attachment A 2 <br />