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Table 3. Summary of Results from Shapiro-Francia Test Evaluating Assumption of Normal Woody <br />Plant Density Data Distribution <br />Vegetation <br />Parameter <br />Values <br />Shapiro-Francia Test for Normality <br />Pass ? <br />Mean' <br />N <br />Calculated "W" <br />Critical "W" <br />Yes / No <br />2015 BRB-3 <br />"Background" <br />34.2 <br />40 <br />1.003 <br />0.919 <br />Yes <br />Woody Plant Density <br />Data <br />' 2015 BRB-3 individual density data were subjected to square root transformation to produce a normal data set. Mean shown here <br />is the square root mean of the lbs/acre data. <br />Use of a reverse -null t-test of the assertion that the 2015 BRB-3 Background woody plant density <br />exceeds 90% of mandatory performance standard 1 (200 stems per acre) is shown as follows: <br />t = <br />.t — (0.9 * technical standard) <br />(7-r5ii) <br />tcalc = (34.2 — 13.4) / (28.1 / 40^0.5) = 4.692 <br />Since critical tt = 0.851 (one -tailed, alpha = 0.2, 40-1 df) and tca,c (4.692) is greater than this critical value, <br />reclamation success for "Background" woody plant density for Phase III in 2015 is demonstrated. <br />Use of a reverse -null t-test of the assertion that the 2015 BRB-3 Background woody plant density <br />exceeds 90% of mandatory performance standard 2 (1000 stems per acre) is shown as follows: <br />tc = <br />.x� — (0.9 * technical standard) <br />(715-17) <br />tca c = (34.2 — 30) / (28.1 / 40^0.5) = 0.951 <br />27 <br />