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A forest ranger has data on the heights of a large growth of young pine trees. The mean height is 3.2 ft and the standard deviation 0.6 feet. A histogram shows that the distribution of heights is approximately normal. Approximately what fraction of the trees should we expect to be between 4.0 and 4.4 feet tall? 12. а. 2% b. 7% C. 9% d. 91% е. 98%

A forest ranger has data on the heights of a large growth of young pine trees. The mean height is 3.2 ft and the standard deviation 0.6 feet. A histogram shows that the distribution of heights is approximately normal. Approximately what fraction of the trees should we expect to be between 4.0 and 4.4 feet tall? 12. а. 2% b. 7% C. 9% d. 91% е. 98%

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Example Educational Text #### Statistical Problem: Tree Heights **Problem 12:** A forest ranger has data on the heights of a large growth of young pine trees. The mean height is 3.2 feet and the standard deviation is 0.6 feet. A histogram shows that the distribution of heights is approximately normal. Approximately what fraction of the trees should we expect to be between 4.0 and 4.4 feet tall? - a. 2% - b. 7% - c. 9% - d. 91% - e. 98% --- #### Vocabulary Matching Match each word to its definition or example: **13. Disjoint** A) The time it takes to complete a basketball game. **14. Independent** B) Mean and standard deviation. --- [Note to educators: This problem involves applying the concepts of mean, standard deviation, and the normal distribution to determine the likelihood of a specific range of values occurring within a set of data. Encourage students to use the empirical rule or a z-score table to find the probability of heights between 4.0 and 4.4 feet.]
Transcribed Image Text:### Example Educational Text #### Statistical Problem: Tree Heights **Problem 12:** A forest ranger has data on the heights of a large growth of young pine trees. The mean height is 3.2 feet and the standard deviation is 0.6 feet. A histogram shows that the distribution of heights is approximately normal. Approximately what fraction of the trees should we expect to be between 4.0 and 4.4 feet tall? - a. 2% - b. 7% - c. 9% - d. 91% - e. 98% --- #### Vocabulary Matching Match each word to its definition or example: **13. Disjoint** A) The time it takes to complete a basketball game. **14. Independent** B) Mean and standard deviation. --- [Note to educators: This problem involves applying the concepts of mean, standard deviation, and the normal distribution to determine the likelihood of a specific range of values occurring within a set of data. Encourage students to use the empirical rule or a z-score table to find the probability of heights between 4.0 and 4.4 feet.]
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