The procedure followed in generating new synthetic composite samples (n = 1,000) of C_ and C_ were based on the arithmetic means and standard deviations listed in Table 4 and the stratum areas given in Table 3. No logarithms were involved. The synthetic means and standard deviations thus obtained (n = 1,000) were G_ 580.9 + = 70.38 + 62.32 pCi/g and C About 15 percent of the synthetic samples of ¢Sand approxi931.9 pCi/g. mately 35 percent of the synthetic samples of C_ were negative values. The expected means, based on the arithmetic means given in Table 4 for six strata, the area data given in Table 3, and the procedure implied by Equation 5 were Cy = 71 pCi/g and Ce = 579 pCi/g. The calculator program, described in Appendix I, was modified to operate on the synthetic means and standard deviations (x + s), discussed above, and was used to generate synthetic samples of I as indicated by Equation 1. The results of this simulation, based on estimates of arithmetic means and standard deviations, are shown in Table 10. Table 10. Synthetic Samples of Ib (pCi/day Based on Equa tion 1 and the Following Estimates of Arithmetic Means and Standard Deviations: I= 6,526 + 2, 396 g/day, C_ = 70.38 + 62.32 pCi/g, I, = 227 +"670 g/day C5 = 581 + 932 bCi/g n x s 100 100 100 100 100 500 743,668 701,631 546,061 483,138 403,493 575,598 909,937 995,215 893,357 922,872 880,953 921,336 n 100 100 100 100 100 500 |1,000 x 594,596 754,221 487,977 521,907 524,160 576,572 576,085 s |; 851,972 1,028,018 791,335 910,771 1,045,871 930,832 926,096 The overall estimate, I = 576 nCi/day (n = 1000), is about 3.5 percent higher than the overall @stimate shown in Table 9 (557 nCi/day, n = 500) and approximately 2 percent higher than the estimate (565 nCt/day) based on the rumen contents of fistulated steers. The number of negative values in the total synthetic sample (n = 1,000) was 217, a frequency of 21.7 percent. The expected frequency for a normal distribution based on u = 576 and o = 926 is about 26.7 percent. The coefficients of variation indicated by the estimates shown in Table 9, based on the lognormal hypothesis, are generally smaller than those indicated by the estimates shown in Table 10, which are based (except for I_) on assumed normal distributions. From these results and comparisons, it is obvious that the simulation model does not depend on the lognormal hypothesis. 503