Area = 0.2033 Z3D70

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Find the indicated z-score shown in the graph to the right.

The image presents a standard normal distribution curve, also known as a bell curve, which is symmetrical and centered around the mean.

### Description:
- **Horizontal Axis (z):** The horizontal axis represents the z-score, which is a statistical measurement that describes a value's relation to the mean of a group of values.
- **Shaded Area:** To the left of the z-value is a shaded region representing an area under the curve. This shaded region indicates the probability of obtaining a value less than the z-score in a standard normal distribution.
- **Labeled Area:** The shaded area is labeled as 0.2033, which quantifies the probability or proportion of the data that falls below the indicated z-score.
- **Vertical Line at z = ?:** A vertical line marks an unknown z-value where this cumulative probability (area) is 0.2033. This suggests that 20.33% of the data falls to the left of this z-value on the normal distribution.
  
### Interpretation:
The graph is likely used to determine the z-score corresponding to the 20.33% percentile of a standard normal distribution. This visualization is common in statistics for finding critical values or understanding the distribution of data in relation to the mean.
Transcribed Image Text:The image presents a standard normal distribution curve, also known as a bell curve, which is symmetrical and centered around the mean. ### Description: - **Horizontal Axis (z):** The horizontal axis represents the z-score, which is a statistical measurement that describes a value's relation to the mean of a group of values. - **Shaded Area:** To the left of the z-value is a shaded region representing an area under the curve. This shaded region indicates the probability of obtaining a value less than the z-score in a standard normal distribution. - **Labeled Area:** The shaded area is labeled as 0.2033, which quantifies the probability or proportion of the data that falls below the indicated z-score. - **Vertical Line at z = ?:** A vertical line marks an unknown z-value where this cumulative probability (area) is 0.2033. This suggests that 20.33% of the data falls to the left of this z-value on the normal distribution. ### Interpretation: The graph is likely used to determine the z-score corresponding to the 20.33% percentile of a standard normal distribution. This visualization is common in statistics for finding critical values or understanding the distribution of data in relation to the mean.
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