Problem 11E

A forester studying the effects of fertilization on certain pine forests in the Southeast is interested in estimating the average basal area of pine trees. In studying basal areas of similar trees for many years, he has discovered that these measurements (in square inches) are normally distributed with standard deviation approximately 4 square inches. If the forester samples n = 9 trees, find the probability that the sample mean will be within 2 square inches of the population mean.

Discrete Math Week 10 Intro To Tree - A tree is a connected undirected graph with no simple circuits. - Both are connected and have no simple circuits. Because e, b, a, d, e is a simple circuit, G i3not a tree. G4is not a tree because it is not connected. - A forest is a graph with no simple circuit, but not connected. Each of the connected components in a forest is a tree. Theorem → An undirected graph - a tree IF AND ONLY IF there is a unique simple path between any two of its vertices. Proof → Assume that T = tree. T is connected with no simple circuits. Hence, if x and y are distinct vertices of T, there is a simple path between them (Theorem 1 of 10.4). This path is unique for if