Math Problem Statement

A forester measured 3535 of the trees in a large woods that is up for sale. He found a mean diameter of 10.710.7 inches and a standard deviation of 4.74.7 inches. Suppose that these trees provide an accurate description of the whole forest and that a Normal model applies. Question content area bottom Part 1 ​a) Choose the correct Normal model for tree diameters. A. font size decreased by 3 10.710.7 font size decreased by 2 mu plus sigmaμ+σ font size decreased by 2 mu plus 2 sigmaμ+2σ font size decreased by 2 mu plus 3 sigmaμ+3σ font size decreased by 2 mu minus sigmaμ−σ font size decreased by 2 mu minus 2 sigmaμ−2σ font size decreased by 2 mu minus 3 sigmaμ−3σ font size decreased by 2 muμ font size decreased by 3 15.415.4 font size decreased by 3 6.06.0 font size decreased by 3 20.120.1 font size decreased by 3 1.31.3 font size decreased by 3 negative 3.4−3.4 font size decreased by 3 24.824.8 68% 95% 99.7%

A bell-shaped curve with horizontal axis from less than negative 3.4 to 24.8 plus in intervals of 4.7 begins just above the horizontal axis, increases at an increasing and then decreasing rate to its maximum at 10.7, labeled "mu," and decreases at an increasing and then decreasing rate approaching the horizontal axis. The curve is symmetric. The area below the curve is subdivided into regions by the intervals as follows: the region from mu minus sigma, 6.0, to mu plus sigma, 15.4, is labeled "99.7%"; the region from mu minus 2 times sigma, 1.3, to mu plus 2 times sigma, 20.1, is labeled "95%"; the region from mu minus 3 times sigma, negative 3.4, to mu plus 3 times sigma, 24.8, is labeled "68%." B. font size decreased by 3 10.710.7 font size decreased by 2 mu plus sigmaμ+σ font size decreased by 2 mu plus 2 sigmaμ+2σ font size decreased by 2 mu plus 3 sigmaμ+3σ font size decreased by 2 mu minus sigmaμ−σ font size decreased by 2 mu minus 2 sigmaμ−2σ font size decreased by 2 mu minus 3 sigmaμ−3σ font size decreased by 2 muμ font size decreased by 3 15.415.4 font size decreased by 3 6.06.0 font size decreased by 3 20.120.1 font size decreased by 3 1.31.3 font size decreased by 3 negative 3.4−3.4 font size decreased by 3 24.824.8 68% 95% 99.7%

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Normal Distribution
Descriptive Statistics

Formulas

μ - 3σ
μ - 2σ
μ - σ
μ + σ
μ + 2σ
μ + 3σ

Theorems

68-95-99.7 Rule

Suitable Grade Level

Grades 9-12