### Finding the z-Value for a Given Area Using the Standard Normal Distribution#### Problem Statement:Find the z value that corresponds to the given area in the figure below. Use the [Standard Normal Distribution Table](#) and enter the answer to 2 decimal places. (Note: Figure not drawn to scale.)#### Graphical Representation:The diagram illustrates a standard normal distribution curve (a bell-shaped curve) centered at zero. The area under the curve to the right of zero up to a certain z value is shaded in yellow. The shaded area represents a proportion of the total area under the curve. Here, the area of interest is 0.4394.![Standard Normal Distribution Curve](#)In the graph:- The horizontal axis represents z values (standard scores).- The vertical red line at the center represents the mean of the distribution, which is at z = 0.- The shaded area (in yellow) starts from z = 0 and extends to a particular z value on the right.#### Instructions:1. **Determine the z Value:** - Use the Standard Normal Distribution Table to find the z value that corresponds to the cumulative area (probability) from the left tail to z, considering the given area to the right of 0 as 0.4394.2. **Steps:** - Locate the area in the Standard Normal Distribution Table. - Identify the corresponding z score. - Enter the z value precise to 2 decimal places in the box provided below.#### Input Box:```z = [ ] [Reset] [Check]```#### Submission:- After entering the value, click "Check" to verify correctness.- Use "Reset" to clear the input.#### Utility:This type of problem helps understand the properties of the standard normal distribution and how to use z-tables to find specific values corresponding to given probabilities.© 2021 McGraw-Hill Education. All Rights Reserved. | Terms of Use | Privacy | Accessibility Remember, the key here is to use the area given and the standard normal distribution table, a critical tool in statistics for various applications, including hypothesis testing and confidence interval estimation.

In question, We have given a picture from which We'll find the value of z that corresponds the given…

Find the z value that corresponds to the glven area In the figure below. Use O The Standard Normal Distributlon Table and enter the answer to 2 decimal places. (Note: Figure not drawn to scale.) + 0,4394

Find the z value that corresponds to the glven area In the figure below. Use O The Standard Normal Distributlon Table and enter the answer to 2 decimal places. (Note: Figure not drawn to scale.) + 0,4394

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

### Finding the z-Value for a Given Area Using the Standard Normal Distribution

#### Problem Statement:
Find the z value that corresponds to the given area in the figure below. Use the [Standard Normal Distribution Table](#) and enter the answer to 2 decimal places.
(Note: Figure not drawn to scale.)

#### Graphical Representation:
The diagram illustrates a standard normal distribution curve (a bell-shaped curve) centered at zero. The area under the curve to the right of zero up to a certain z value is shaded in yellow. The shaded area represents a proportion of the total area under the curve. Here, the area of interest is 0.4394.

![Standard Normal Distribution Curve](#)

In the graph:
- The horizontal axis represents z values (standard scores).
- The vertical red line at the center represents the mean of the distribution, which is at z = 0.
- The shaded area (in yellow) starts from z = 0 and extends to a particular z value on the right.

#### Instructions:
1. **Determine the z Value:**
- Use the Standard Normal Distribution Table to find the z value that corresponds to the cumulative area (probability) from the left tail to z, considering the given area to the right of 0 as 0.4394.

2. **Steps:**
- Locate the area in the Standard Normal Distribution Table.
- Identify the corresponding z score.
- Enter the z value precise to 2 decimal places in the box provided below.

#### Input Box:
```
z = [ ] [Reset] [Check]
```

#### Submission:
- After entering the value, click "Check" to verify correctness.
- Use "Reset" to clear the input.

#### Utility:
This type of problem helps understand the properties of the standard normal distribution and how to use z-tables to find specific values corresponding to given probabilities.

© 2021 McGraw-Hill Education. All Rights Reserved. | Terms of Use | Privacy | Accessibility

Remember, the key here is to use the area given and the standard normal distribution table, a critical tool in statistics for various applications, including hypothesis testing and confidence interval estimation.

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