Find the indicated​ z-score shown in the graph to the right.                          z Area= 0.0708 z=? 0         A normal curve is over a horizontal z-axis and is centered on 0. A vertical line segment extends from the curve to the horizontal axis at a point labeled z = ?. The area under the curve and to the left of the vertical line segment is shaded and labeled Area = 0.0708.       The​ z-score is enter your response here. ​(Round to two decimal places as​ needed.)

MATLAB: An Introduction with Applications
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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.
 
 
 
 
 
 
 
 
 
 
 
 
 z
Area=
0.0708
z=?
0
 
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A normal curve is over a horizontal z-axis and is centered on 0. A vertical line segment extends from the curve to the horizontal axis at a point labeled z = ?. The area under the curve and to the left of the vertical line segment is shaded and labeled Area = 0.0708.
 
 
 
The​ z-score is
enter your response here.
​(Round to two decimal places as​ needed.)
**Educational Content: Understanding Z-Scores and Normal Distribution**

*Instructions for Printing:*
To ensure a quality print-out, avoid using the browser's print function as it may produce undesirable results. Instead, utilize the "Print" option found in the "Question Help" menu for optimal printing.

*Graph Analysis:*
The image displays a standard normal distribution curve—a bell-shaped curve typically used in statistics to illustrate a normal distribution.

**Key Features of the Graph:**

- **Normal Distribution Curve:** The central peak represents the mean, which is the average value of the dataset. 
- **Horizontal Axis:** This axis typically measures the z-scores, which indicate how many standard deviations an element is from the mean. Here, the z-score at the central point is labeled as "0."
- **Shaded Area:** A portion of the curve is shaded in blue on the right side of the mean. This area represents the probability of obtaining a z-score greater than the z-value indicated (z = ?).
- **Z-Value:** The exact z-value where the shading begins from the right is represented with "z = ?". This suggests that the value needs to be determined or provided in an exercise or demonstration context.

Understanding this graph helps illustrate how specific values relate to the normal distribution and can be vital in statistical analysis or probability calculations. For further exploration, consider using statistical tools or software to calculate areas and probabilities under the curve based on given z-scores.
Transcribed Image Text:**Educational Content: Understanding Z-Scores and Normal Distribution** *Instructions for Printing:* To ensure a quality print-out, avoid using the browser's print function as it may produce undesirable results. Instead, utilize the "Print" option found in the "Question Help" menu for optimal printing. *Graph Analysis:* The image displays a standard normal distribution curve—a bell-shaped curve typically used in statistics to illustrate a normal distribution. **Key Features of the Graph:** - **Normal Distribution Curve:** The central peak represents the mean, which is the average value of the dataset. - **Horizontal Axis:** This axis typically measures the z-scores, which indicate how many standard deviations an element is from the mean. Here, the z-score at the central point is labeled as "0." - **Shaded Area:** A portion of the curve is shaded in blue on the right side of the mean. This area represents the probability of obtaining a z-score greater than the z-value indicated (z = ?). - **Z-Value:** The exact z-value where the shading begins from the right is represented with "z = ?". This suggests that the value needs to be determined or provided in an exercise or demonstration context. Understanding this graph helps illustrate how specific values relate to the normal distribution and can be vital in statistical analysis or probability calculations. For further exploration, consider using statistical tools or software to calculate areas and probabilities under the curve based on given z-scores.
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