Homework Help is Here – Start Your Trial Now!
Math
Statistics
Standard Normal Cumulative Probability Table Cumulative probabilities for POSITIVE z-values are shown in the following table: 0.00 0.01 0.02 0.03 0.5000 0.5040 0.5080 0.5120 0.5398 0.5438 0.5478 0.5517 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6179 0.6217 0.6255 0.6554 0.6591 0.6628 0.6664 Z 0.0 0.1 0.2 0.3 0.4 0.05 0.06 0.07 0.09 0.04 0.5160 0.5199 0.5239 0.5279 0.5557 0.5596 0.5636 0.5675 0.5359 0.5753 0.6141 0.6026 0.6064 0.6103 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.08 0.5319 0.5714

Standard Normal Cumulative Probability Table Cumulative probabilities for POSITIVE z-values are shown in the following table: 0.00 0.01 0.02 0.03 0.5000 0.5040 0.5080 0.5120 0.5398 0.5438 0.5478 0.5517 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6179 0.6217 0.6255 0.6554 0.6591 0.6628 0.6664 Z 0.0 0.1 0.2 0.3 0.4 0.05 0.06 0.07 0.09 0.04 0.5160 0.5199 0.5239 0.5279 0.5557 0.5596 0.5636 0.5675 0.5359 0.5753 0.6141 0.6026 0.6064 0.6103 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.08 0.5319 0.5714

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Find the z-score for which the area to the right is 0.40.

 

 

# Standard Normal Cumulative Probability Table This table provides cumulative probabilities for POSITIVE z-values. ## Table Description - **Columns (0.00 to 0.09):** These represent the second decimal place of the z-value. - **Rows (0.0 to 3.4):** These indicate the z-value up to the first decimal place. Each cell in the table lists the cumulative probability corresponding to the specific z-value created by combining the row and column headers. For example, the value at the intersection of row 0.3 and column 0.04 represents the cumulative probability for a z-value of 0.34. ### Graph/Diagram Description - **Normal Distribution Curve:** - Positioned at the top right of the table. - Illustrates the bell-shaped curve of the standard normal distribution. - The shaded area to the left of a particular z-value on this curve represents the cumulative probability, aligning with the corresponding value in the table. The standard normal cumulative probability table is a crucial tool for statistics, allowing users to determine the probability that a standard normal random variable is less than or equal to a particular z-value.
Transcribed Image Text:# Standard Normal Cumulative Probability Table This table provides cumulative probabilities for POSITIVE z-values. ## Table Description - **Columns (0.00 to 0.09):** These represent the second decimal place of the z-value. - **Rows (0.0 to 3.4):** These indicate the z-value up to the first decimal place. Each cell in the table lists the cumulative probability corresponding to the specific z-value created by combining the row and column headers. For example, the value at the intersection of row 0.3 and column 0.04 represents the cumulative probability for a z-value of 0.34. ### Graph/Diagram Description - **Normal Distribution Curve:** - Positioned at the top right of the table. - Illustrates the bell-shaped curve of the standard normal distribution. - The shaded area to the left of a particular z-value on this curve represents the cumulative probability, aligning with the corresponding value in the table. The standard normal cumulative probability table is a crucial tool for statistics, allowing users to determine the probability that a standard normal random variable is less than or equal to a particular z-value.
# Standard Normal Cumulative Probability Table The table below provides cumulative probabilities for negative z-values. It is used in statistics to determine the probability that a standard normal random variable is less than or equal to a given value (z-score). The values in the table indicate cumulative probabilities for various z-scores, which are typically used to find areas under the standard normal curve. ## Cumulative Probability Table for Negative z-values ### Table Columns Description: - **z**: The first column represents the z-score, with increments of 0.1. - **0.00 to 0.09**: These columns represent the second decimal place of the z-score. ### Example of Table Use: 1. For a z-score of -2.34, find the row for -2.3 and the column for 0.04. The cumulative probability is 0.0096. ### Table Summary: - **z = -3.4**: Values range from 0.0003 (at the intersection with column 0.00) to 0.0002 (at 0.09). - **z = -3.0**: Starts at 0.0013 when column 0.00 is intersected. - **z = -2.0**: At column 0.00, the cumulative probability is 0.0228 and decreases as z-values increase. - **z = -1.0**: Here, the cumulative probabilities start from 0.1587. - **z = 0.0**: At this z-score, the cumulative probability is 0.5000, representing the midpoint of the normal distribution. ### Graph Interpretation: - The graph at the top right of the image is a standard normal distribution curve (bell curve) with shaded areas representing the cumulative probability for selected negative z-values. ### Important Notes: - The values are symmetric around z = 0 due to the properties of the normal distribution. - This table helps in determining probabilities for hypothesis testing and confidence intervals in various fields, including psychology, finance, and natural sciences.
Transcribed Image Text:# Standard Normal Cumulative Probability Table The table below provides cumulative probabilities for negative z-values. It is used in statistics to determine the probability that a standard normal random variable is less than or equal to a given value (z-score). The values in the table indicate cumulative probabilities for various z-scores, which are typically used to find areas under the standard normal curve. ## Cumulative Probability Table for Negative z-values ### Table Columns Description: - **z**: The first column represents the z-score, with increments of 0.1. - **0.00 to 0.09**: These columns represent the second decimal place of the z-score. ### Example of Table Use: 1. For a z-score of -2.34, find the row for -2.3 and the column for 0.04. The cumulative probability is 0.0096. ### Table Summary: - **z = -3.4**: Values range from 0.0003 (at the intersection with column 0.00) to 0.0002 (at 0.09). - **z = -3.0**: Starts at 0.0013 when column 0.00 is intersected. - **z = -2.0**: At column 0.00, the cumulative probability is 0.0228 and decreases as z-values increase. - **z = -1.0**: Here, the cumulative probabilities start from 0.1587. - **z = 0.0**: At this z-score, the cumulative probability is 0.5000, representing the midpoint of the normal distribution. ### Graph Interpretation: - The graph at the top right of the image is a standard normal distribution curve (bell curve) with shaded areas representing the cumulative probability for selected negative z-values. ### Important Notes: - The values are symmetric around z = 0 due to the properties of the normal distribution. - This table helps in determining probabilities for hypothesis testing and confidence intervals in various fields, including psychology, finance, and natural sciences.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS