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Vegetation Parameter <br />Values <br />Shapiro - Francia Test for Normality <br />Mean' <br />N <br />Calculated "W" <br />Critical "W" <br />Pass ? <br />Yes / No <br />2012 BRB PSCM -2 <br />Allowable Herbaceous <br />Production <br />6.473 <br />35 <br />0.959 <br />0.919 <br />Yes <br />Table 1. Shapiro- Francia Test Evaluating Assumption of Normal Production Data Distribution <br />1 <br />2012 BRB PSCM -2 Production data (arithmetic mean 847.6 lb/ac) were subjected to square root transformation to produce a <br />normal data set. Mean shown here is the sqaure root mean of the gm /0.5 sq.m. data. <br />Since critical W' = 0.919 (bond release sample size -35, alpha =0.01) is exceeded by W' calculated <br />(0.959), the null hypothesis is retained and reclamation production data for Phase III in BRB PSCM -2 <br />2012 are normally distributed. <br />A one - sample t -test of the "reverse null" hypothesis of the assertion that the 2012 BRB PSCM -2 allowable <br />herbaceous production is indistinguishable from the weighted average Reference Area allowable <br />herbaceous production is as follows (data are square roots of oven -dry gm /0.5sq.m. data): <br />t cats = x — (0.9 * technical: standard) <br />(S l <br />l *l <br />6.473 — 3.221 <br />t eak = <br />(i) 2 41 — 7984 <br />Since critical t = 0.853 (one - tailed, alpha = 0.2, 35 -1 df) is exceeded by t „,, (7.075), the hypothesis of no <br />difference is rejected and reclamation success for 2012 BRB PSCM -2 production under Phase Ill is <br />demonstrated. <br />17 <br />