Assume that the normal distribution of the data has a mean of 16 and a standard deviation of 2. Use the 68-95-99.7 rule to find the percentage of values that lie above 18.What percentage of value lie above 18?(Type an integer or a decimal) **Section 14.4 - The Normal Distribution**The normal distribution (normal curve) is a way to study data using the information you have learned about. A normal distribution is a bell-shaped curve that is symmetric with respect to the mean. A normal distribution usually applies to a whole population, not a sample, therefore the mean is now called $ \mu $ (mu).**Diagram Description:**The image includes a bell-shaped curve representing the normal distribution. Below is a detailed explanation of the graph:1. **Axes and Distribution:** - The horizontal axis (x-axis) represents the value of data points (often standardized scores such as z-scores). - The vertical axis (y-axis) represents the probability density or frequency of occurrences.2. **Mean and Standard Deviations:** - The mean $ \mu $ is located at the center of the curve. - The distribution extends symmetrically to the left and right from the mean. - Each standard deviation ($ \sigma $) is marked at regular intervals on either side of the mean.3. **Areas Under the Curve:** - The diagram is divided into sections based on standard deviations: - Between $ \mu $ and $ \mu + 1\sigma $ (to the right) and $ \mu - 1\sigma $ (to the left) covers 34% of the data each. - Between $ \mu + 1\sigma $ and $ \mu + 2\sigma $ (to the right) and $ \mu - 1\sigma $ and $ \mu - 2\sigma $ (to the left) covers 13.5% of the data each. - Between $ \mu + 2\sigma $ and $ \mu + 3\sigma $ (to the right) and $ \mu - 2\sigma $ and $ \mu - 3\sigma $ (to the left) covers 2.35% of the data each. - Beyond $ \mu + 3\sigma $ (to the right) and $ \mu - 3\sigma $ (to the left) covers 0.15% of the data each.4. **Annotations:** - There are handwritten notes indicating specific values along the x-axis corresponding to the standard deviations: - \

Assume that the normal distribution of the data has a mean of 16 and a standard deviation of 2. Use the 68-95-99.7 rule to find the percentage of values that lie above 18. What percentage of value lie above 18? (Type an integer or a decimal)

Assume that the normal distribution of the data has a mean of 16 and a standard deviation of 2. Use the 68-95-99.7 rule to find the percentage of values that lie above 18. What percentage of value lie above 18? (Type an integer or a decimal)

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

**Section 14.4 - The Normal Distribution**

The normal distribution (normal curve) is a way to study data using the information you have learned about. A normal distribution is a bell-shaped curve that is symmetric with respect to the mean. A normal distribution usually applies to a whole population, not a sample, therefore the mean is now called $ \mu $ (mu).

**Diagram Description:**
The image includes a bell-shaped curve representing the normal distribution. Below is a detailed explanation of the graph:

1. **Axes and Distribution:**
- The horizontal axis (x-axis) represents the value of data points (often standardized scores such as z-scores).
- The vertical axis (y-axis) represents the probability density or frequency of occurrences.

2. **Mean and Standard Deviations:**
- The mean $ \mu $ is located at the center of the curve.
- The distribution extends symmetrically to the left and right from the mean.
- Each standard deviation ($ \sigma $) is marked at regular intervals on either side of the mean.

3. **Areas Under the Curve:**
- The diagram is divided into sections based on standard deviations:
- Between $ \mu $ and $ \mu + 1\sigma $ (to the right) and $ \mu - 1\sigma $ (to the left) covers 34% of the data each.
- Between $ \mu + 1\sigma $ and $ \mu + 2\sigma $ (to the right) and $ \mu - 1\sigma $ and $ \mu - 2\sigma $ (to the left) covers 13.5% of the data each.
- Between $ \mu + 2\sigma $ and $ \mu + 3\sigma $ (to the right) and $ \mu - 2\sigma $ and $ \mu - 3\sigma $ (to the left) covers 2.35% of the data each.
- Beyond $ \mu + 3\sigma $ (to the right) and $ \mu - 3\sigma $ (to the left) covers 0.15% of the data each.

4. **Annotations:**
- There are handwritten notes indicating specific values along the x-axis corresponding to the standard deviations:
- \

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