7. Distribution: Heights of Coeds Assuming that the heights of college women are normally distributed with mean 65 inches and standard devia- tion 2.5 inches (based on information from Statistical Abstract of the United States, 112th edition), answer the following questions. Hint: Use Problems 5 and 6 and Figure 7-3. (a) What percentage of women are taller than 65 inches? (b) What percentage of women are shorter than 65 inches? (c) What percentage of women are between 62.5 inches and 67.5 inches? (d) What percentage of women are between 60 inches and 70 inches?
7. Distribution: Heights of Coeds Assuming that the heights of college women are normally distributed with mean 65 inches and standard devia- tion 2.5 inches (based on information from Statistical Abstract of the United States, 112th edition), answer the following questions. Hint: Use Problems 5 and 6 and Figure 7-3. (a) What percentage of women are taller than 65 inches? (b) What percentage of women are shorter than 65 inches? (c) What percentage of women are between 62.5 inches and 67.5 inches? (d) What percentage of women are between 60 inches and 70 inches?
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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Question
Please answer number 7. Make sure to show work!! Thanks!
**Figure 7-10:**
4. **Critical Thinking**
- Sketch a normal curve
(a) with mean 15 and standard deviation 2.
(b) with mean 15 and standard deviation 3.
(c) with mean 12 and standard deviation 2.
(d) with mean 12 and standard deviation 3.
- (e) Consider two normal curves. If the first one has a larger mean than the second one, must it have a larger standard deviation as well? Explain your answer.
5. **Basic Computation: Empirical Rule** What percentage of the area under the normal curve lies
(a) to the left of μ?
(b) between μ − σ and μ + σ?
(c) between μ − 3σ and μ + 3σ?
6. **Basic Computation: Empirical Rule** What percentage of the area under the normal curve lies
(a) to the right of μ?
(b) between μ − 2σ and μ + 2σ?
(c) to the right of μ + 3σ?
7. **Distribution: Heights of Coeds** Assuming that the heights of college women are normally distributed with mean 65 inches and standard deviation 2.5 inches (based on information from *Statistical Abstract of the United States*, 112th edition), answer the following questions. *Hint: Use Problems 5 and 6 and Figure 7-3.*
(a) What percentage of women are taller than 65 inches?
(b) What percentage of women are shorter than 65 inches?
(c) What percentage of women are between 62.5 inches and 67.5 inches?
(d) What percentage of women are between 60 inches and 70 inches?
**Explanation of Figures:**
**Figure 7-9** depicts a normal distribution curve with a bell shape centered around the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6805edd-9acc-4ccd-9c7a-22df1558ea0b%2F3946a254-801a-4997-8b94-6042086e8fd4%2Fpqr7rdj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. **Critical Thinking** Look at the two normal curves in Figures 7-9 and 7-10. Which has the larger standard deviation? What is the mean of the curve in Figure 7-12? What is the mean of the curve in Figure 7-13?
**Figure 7-9:**
**Figure 7-10:**
4. **Critical Thinking**
- Sketch a normal curve
(a) with mean 15 and standard deviation 2.
(b) with mean 15 and standard deviation 3.
(c) with mean 12 and standard deviation 2.
(d) with mean 12 and standard deviation 3.
- (e) Consider two normal curves. If the first one has a larger mean than the second one, must it have a larger standard deviation as well? Explain your answer.
5. **Basic Computation: Empirical Rule** What percentage of the area under the normal curve lies
(a) to the left of μ?
(b) between μ − σ and μ + σ?
(c) between μ − 3σ and μ + 3σ?
6. **Basic Computation: Empirical Rule** What percentage of the area under the normal curve lies
(a) to the right of μ?
(b) between μ − 2σ and μ + 2σ?
(c) to the right of μ + 3σ?
7. **Distribution: Heights of Coeds** Assuming that the heights of college women are normally distributed with mean 65 inches and standard deviation 2.5 inches (based on information from *Statistical Abstract of the United States*, 112th edition), answer the following questions. *Hint: Use Problems 5 and 6 and Figure 7-3.*
(a) What percentage of women are taller than 65 inches?
(b) What percentage of women are shorter than 65 inches?
(c) What percentage of women are between 62.5 inches and 67.5 inches?
(d) What percentage of women are between 60 inches and 70 inches?
**Explanation of Figures:**
**Figure 7-9** depicts a normal distribution curve with a bell shape centered around the
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