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David was studying the spatial distribution of a native Acacia species in bushland.
David was studying the spatial distribution of a native Acacia species in bushland. At one site he chose 12 points randomly, and at each of these points he measured the distance (in metres) to the nearest Acacia plant. The resulting measurements are given below.0.015 0.09 0.046 0.24 0.17 0.310.29 0.22 0.21 0.26 0.34 0.79If the plants are randomly distributed then it can be shown that the density function of point-to-neighbour distance is fX(x), and that A is the density of theAcacia plants. We can estimate plant density from point-to-neighbour distances, as a convenient alternative to counting the total number of plants in a given area.i. Estimate the plant density, A, using the point-to-neighbour distances.ii. Calculate a 95% confidence interval for A.
