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Vegetation <br />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 -1 <br />Allowable <br />Herbaceous <br />Production <br />7.315 <br />35 <br />0.924 <br />0.919 <br />Yes <br />Table 1. Summary of Results from Shapiro - Francia Test Evaluating Assumption of Normal <br />Production Data Distribution <br />1 <br />2012 BRB -1 Production data (arithmetic mean 1,130.8 lb/ac) were subjected to square root transformation to produce a normal <br />data set. Mean shown here is the square 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 />(0.924), the null hypothesis is retained and reclamation production data for Phase Ill in BRB -1 in 2012 are <br />normally distributed. <br />A one - sample t -test of the "reverse null" hypothesis of the assertion that the 2012 BRB -1 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 />.x — (0.9* tech.n:cai grallciarc!) <br />7.315 — 4.451 <br />3.18 <br />35 <br />Since critical t = 0.852 (one - tailed, alpha = 0.2, 35 -1 df) is exceeded by tcaIc (5.320), the hypothesis of no <br />difference is rejected and reclamation success for 2012 BRB -1 production under Phase Ill is <br />demonstrated. <br />21 <br />