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Logging in the Rain Forest. “Conservationists have despaired over destruction of tropical rain forest by logging,...

Logging in the Rain Forest. “Conservationists have despaired over destruction of tropical rain forest by logging, clearing, and burning.” These words begin a report on a statistical study of the effects of logging in Borneo.12 Charles Cannon of Duke University and his coworkers compared forest plots that had never been logged (Group 1) with similar plots nearby that had been logged one year earlier (Group 2) and eight years earlier (Group 3). All plots were 0.1 hectare in area. Here are the counts of trees for plots in each group: Image LOGGING Group1: 27,22,29,21,19,33,16,20,24,27,28,19 Group2: 12,12,15,9,20,18,17,14,14,2,17,19 Group 3: 18,4,22,15,18,19,22,12,12

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Although the problem statement is incomplete, solving it to compare the 3 groups.We use the one way ANOVA with replication tool of Excel and get the following ANOVA table The null and alternative hypothesis are Ho: There is no difference between the 3 groups with respect to logging Ha : There is a difference between the 3 groups with respect to logging SUMMARY Groups Count Sum Average Variance 12 28.5 Groupl1: Group2: Group3: 23.7525.6591 12 169 14.0833 24.8106 9 142 15.777833.1944 ANOVA Source of VariationSS Between Groups Within Groups df MS P-value F crit 625.1566 820.722230 27.3574 2 312.5783 11.4257 0.0002 3.3158 Tota 1445.879 32 As from the table above, we can see the test statistic is F 11.4257 Critical value of F is obtained from F-tables or Excel function F.INV.RT using degrees of freedom 2 and 30 and level of significance 0.05 F-crit F.INV.RT(0.05, 2, 30]) F-crit - 3.3158 Conclusion: Since F test statistic > F-crit, we reject the null hypothesis There exists sufficient statistical evidence to conclude that there is a difference in the forest plots in the 3 groups with respect to logging

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