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 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)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22eb5122-f151-4caa-a9e5-ed0aea01f8ea%2F5485ba26-8891-439a-9e99-64c568f0dec2%2Fzumc0e_processed.jpeg&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22eb5122-f151-4caa-a9e5-ed0aea01f8ea%2F5485ba26-8891-439a-9e99-64c568f0dec2%2Fady57lu_processed.jpeg&w=3840&q=75)
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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