A forester measured 26 of the trees in a large woods that is up for sale. He found a mean diameter of 10.1 inches and a standard deviation of 4.8 inches. Suppose that these trees provide an accurate description of the whole forest and that a Normal model applies a) Choose the correct Normal model for tree diameters. OA. OB. Oc.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please Answer Questions A through E

e) About what percent of the trees should have diameters over 24.5 inches?

Using the 68-95-99.7 rule, about [ ]% of the trees should have diameters over 24.5 inches. (Do not round. Type an integer or a decimal.)
Transcribed Image Text:e) About what percent of the trees should have diameters over 24.5 inches? Using the 68-95-99.7 rule, about [ ]% of the trees should have diameters over 24.5 inches. (Do not round. Type an integer or a decimal.)
A forester measured 26 of the trees in a large woods that is up for sale. He found a mean diameter of 10.1 inches and a standard deviation of 4.8 inches. Suppose that these trees provide an accurate description of the whole forest and that a Normal model applies.

**a) Choose the correct Normal model for tree diameters.**

Options:
- **A**: The Normal curve with mean (\(\mu\)) = 8 and standard deviation. The distribution overlays a number line marked at -1σ (3.2), μ (8), 1σ (12.8), 2σ (17.6).
- **B**: The Normal curve with mean (\(\mu\)) = 10.1 and standard deviation (\(\sigma\)) = 4.8. The distribution overlays a number line marked at -1σ (5.3), μ (10.1), 1σ (14.9), 2σ (19.7).
- **C**: The Normal curve with mean (\(\mu\)) = 5 and standard deviation. The distribution overlays a number line marked at -1σ (0.2), μ (5), 1σ (9.8), 2σ (14.6).

**b) What size would you expect the central 68% of all tree diameters to be?**

Using the 68-95-99.7 rule, the central 68% of the tree diameters are between [ ] inches and [ ] inches.
(Do not round. Type integers or decimals.)

**c) About what percent of the trees should have diameters below 5.3 inches?**

Using the 68-95-99.7 rule, about [ ]% of the trees should have diameters below 5.3 inches.
(Do not round. Type an integer or a decimal.)

**d) About what percent of the trees should have diameters between 14.9 and 19.7 inches?**

Using the 68-95-99.7 rule, about [ ]% of the trees should have diameters between 14.9 and 19.7 inches.
Transcribed Image Text:A forester measured 26 of the trees in a large woods that is up for sale. He found a mean diameter of 10.1 inches and a standard deviation of 4.8 inches. Suppose that these trees provide an accurate description of the whole forest and that a Normal model applies. **a) Choose the correct Normal model for tree diameters.** Options: - **A**: The Normal curve with mean (\(\mu\)) = 8 and standard deviation. The distribution overlays a number line marked at -1σ (3.2), μ (8), 1σ (12.8), 2σ (17.6). - **B**: The Normal curve with mean (\(\mu\)) = 10.1 and standard deviation (\(\sigma\)) = 4.8. The distribution overlays a number line marked at -1σ (5.3), μ (10.1), 1σ (14.9), 2σ (19.7). - **C**: The Normal curve with mean (\(\mu\)) = 5 and standard deviation. The distribution overlays a number line marked at -1σ (0.2), μ (5), 1σ (9.8), 2σ (14.6). **b) What size would you expect the central 68% of all tree diameters to be?** Using the 68-95-99.7 rule, the central 68% of the tree diameters are between [ ] inches and [ ] inches. (Do not round. Type integers or decimals.) **c) About what percent of the trees should have diameters below 5.3 inches?** Using the 68-95-99.7 rule, about [ ]% of the trees should have diameters below 5.3 inches. (Do not round. Type an integer or a decimal.) **d) About what percent of the trees should have diameters between 14.9 and 19.7 inches?** Using the 68-95-99.7 rule, about [ ]% of the trees should have diameters between 14.9 and 19.7 inches.
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