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.) 0.4394

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
### Educational Website Content on Finding Z Scores in a Standard Normal Distribution

#### Instructions:

In this exercise, you need to find the z value that corresponds to the given area under the standard normal distribution curve. The provided figure (note: not drawn to scale) shows the shaded area for which you are to determine the corresponding z value. 

To complete the exercise, use The Standard Normal Distribution Table and enter the answer to 2 decimal places. The figure represents a standard normal distribution curve, which is symmetrical and bell-shaped. 

#### Figure Explanation:
- The horizontal axis is labeled with '0' at the center, representing the mean of the distribution.
- A shaded area under the curve indicates the probability of z between 0 and some positive z value.
- This shaded area is given as 0.4394.

Below the diagram, a text box labeled "z =" is provided to input your calculated z value.

#### Steps to Determine the Z Value:
1. Identify the given shaded area, which is 0.4394.
2. Use The Standard Normal Distribution Table to find the z value that corresponds to this area.
   - Typically, these tables give the cumulative probability from the mean (0) to the z value.
3. Enter the calculated z value in the provided text box.
4. The answer must be rounded to 2 decimal places.

Once you have determined the correct z value, click the "Check" button to verify your answer.

Also, you have options to Save For Later or Submit Assignment.

#### Example:
If the given area is 0.4394, you would look up this value in the standard normal distribution table to find the associated z value.

#### Note:
Make sure to review how to use the standard normal distribution table and how to interpret areas under the curve to find z values accurately. This skill is essential for understanding probabilities in a normal distribution context.

© 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use | Privacy | Accessibility
Transcribed Image Text:### Educational Website Content on Finding Z Scores in a Standard Normal Distribution #### Instructions: In this exercise, you need to find the z value that corresponds to the given area under the standard normal distribution curve. The provided figure (note: not drawn to scale) shows the shaded area for which you are to determine the corresponding z value. To complete the exercise, use The Standard Normal Distribution Table and enter the answer to 2 decimal places. The figure represents a standard normal distribution curve, which is symmetrical and bell-shaped. #### Figure Explanation: - The horizontal axis is labeled with '0' at the center, representing the mean of the distribution. - A shaded area under the curve indicates the probability of z between 0 and some positive z value. - This shaded area is given as 0.4394. Below the diagram, a text box labeled "z =" is provided to input your calculated z value. #### Steps to Determine the Z Value: 1. Identify the given shaded area, which is 0.4394. 2. Use The Standard Normal Distribution Table to find the z value that corresponds to this area. - Typically, these tables give the cumulative probability from the mean (0) to the z value. 3. Enter the calculated z value in the provided text box. 4. The answer must be rounded to 2 decimal places. Once you have determined the correct z value, click the "Check" button to verify your answer. Also, you have options to Save For Later or Submit Assignment. #### Example: If the given area is 0.4394, you would look up this value in the standard normal distribution table to find the associated z value. #### Note: Make sure to review how to use the standard normal distribution table and how to interpret areas under the curve to find z values accurately. This skill is essential for understanding probabilities in a normal distribution context. © 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use | Privacy | Accessibility
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman