A forester selected a simple random sample from a stand of 51] trees and measured the volume of wood in each tree. Tree 1|Iv'olurne (cubic feet] 1 8D 2 1511] 3 92 4 112 5 12?r {a} [4 pts] The sample mean volume is g? = 112.2 and the sample variance is 52 2 W33. Estimate the total volume of wood in the stand. Give a point estimate and a standard error for the point estimate. {h} [4 pts} Calculate a 95% condence interval for the proportion of trees in the stand with a volume greater than lD cubic feet. [c] (4 ptsj The forester wishes to use this studyr to help determine the sample size for a. future study in a similar stand of ll] trees. Assume the observed sample variance in part [a] is the true variance of this larger population. Calculate the sample size needed to estimate average volume in with an absolute precision of ll] cubic feet. Assume the desired or is H.115