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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 4 6 8 10 12 14 16 FIGURE 7-10 ^ 1 2 3 4 567

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 4 6 8 10 12 14 16 FIGURE 7-10 ^ 1 2 3 4 567

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
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Please answer number 4. Make sure to show work!! Thank you’
## Understanding Normal Distribution through Critical Thinking, Basic Computation, and Real-World Application ### Critical Thinking Exercises 1. **Analyze Normal Curves (Figures 7-9 and 7-10)** - **Look at the two normal curves (Figures 7-9 and 7-10).** - **Questions:** 1. Which has the larger standard deviation? 2. What is the mean of the curve in Figure 7-12? 3. What is the mean of the curve in Figure 7-13? **Figures Description:** - **Figure 7-9:** This figure shows a normal distribution curve centered around a mean value of 10, with values on the x-axis ranging from 4 to 16. - **Figure 7-10:** This figure illustrates a normal distribution with a peak at the mean value of 4, and values on the x-axis ranging from 1 to 7. 2. **Sketching Normal Curves** - **Tasks:** a. Sketch a normal curve with mean 15 and standard deviation 2. b. Sketch a normal curve with mean 15 and standard deviation 3. c. Sketch a normal curve with mean 12 and standard deviation 2. d. Sketch a normal curve with mean 12 and standard deviation 3. - **Consideration:** e. Compare two normal curves. If the first one has a larger mean than the second one, does it necessarily have a larger standard deviation as well? Elaborate on your answer. ### Basic Computation with the Empirical Rule 3. **Calculate Percentages of a Normal Curve** - **For a normal curve:** a. What percentage of the area lies to the left of the mean (μ)? b. What percentage lies between μ - σ and μ + σ? c. What percentage lies between μ - 3σ and μ + 3σ? 4. **Further Calculations** - **For a normal curve:** a. What percentage of the area lies to the right of the mean (μ)? b. What percentage lies between μ - 2σ and μ + 2σ? c. What percentage lies to the right of μ + 3σ? ### Application: Distribution of Heights 5. **Heights of College Women** -
Transcribed Image Text:## Understanding Normal Distribution through Critical Thinking, Basic Computation, and Real-World Application ### Critical Thinking Exercises 1. **Analyze Normal Curves (Figures 7-9 and 7-10)** - **Look at the two normal curves (Figures 7-9 and 7-10).** - **Questions:** 1. Which has the larger standard deviation? 2. What is the mean of the curve in Figure 7-12? 3. What is the mean of the curve in Figure 7-13? **Figures Description:** - **Figure 7-9:** This figure shows a normal distribution curve centered around a mean value of 10, with values on the x-axis ranging from 4 to 16. - **Figure 7-10:** This figure illustrates a normal distribution with a peak at the mean value of 4, and values on the x-axis ranging from 1 to 7. 2. **Sketching Normal Curves** - **Tasks:** a. Sketch a normal curve with mean 15 and standard deviation 2. b. Sketch a normal curve with mean 15 and standard deviation 3. c. Sketch a normal curve with mean 12 and standard deviation 2. d. Sketch a normal curve with mean 12 and standard deviation 3. - **Consideration:** e. Compare two normal curves. If the first one has a larger mean than the second one, does it necessarily have a larger standard deviation as well? Elaborate on your answer. ### Basic Computation with the Empirical Rule 3. **Calculate Percentages of a Normal Curve** - **For a normal curve:** a. What percentage of the area lies to the left of the mean (μ)? b. What percentage lies between μ - σ and μ + σ? c. What percentage lies between μ - 3σ and μ + 3σ? 4. **Further Calculations** - **For a normal curve:** a. What percentage of the area lies to the right of the mean (μ)? b. What percentage lies between μ - 2σ and μ + 2σ? c. What percentage lies to the right of μ + 3σ? ### Application: Distribution of Heights 5. **Heights of College Women** -
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