Homework Help is Here – Start Your Trial Now!
Math
Statistics
Use the standard normal table to find the​ z-score that corresponds to the cumulative area 0.0072. If the area is not in the​ table, use the entry closest to the area. If the area is halfway between two​ entries, use the​ z-score halfway between the corresponding​ z-scores. Click to view page 1 of the standard normal table.

Use the standard normal table to find the​ z-score that corresponds to the cumulative area 0.0072. If the area is not in the​ table, use the entry closest to the area. If the area is halfway between two​ entries, use the​ z-score halfway between the corresponding​ z-scores. Click to view page 1 of the standard normal table.

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
Use the standard normal table to find the​ z-score that corresponds to the cumulative area
0.0072.
If the area is not in the​ table, use the entry closest to the area. If the area is halfway between two​ entries, use the​ z-score halfway between the corresponding​ z-scores.
Click to view page 1 of the standard normal table.
LOADING...
Click to view page 2 of the standard normal table.
LOADING...
 
 
 
z=enter your response here
​(Type an integer or decimal rounded to three decimal places as​ needed.)
The image provides a "Standard Normal Probabilities" table, which is used to determine the probability or area under the standard normal curve (also known as the z-table). This table is essential in statistics for finding probabilities related to the standard normal distribution, widely used in statistical analyses. ### Graph Information: At the top of the image, there is a graphical representation of the standard normal distribution curve (bell curve). It highlights an area under the curve to the left of a specified z-score, indicating the probability that a standard normal random variable will fall within this area. ### Table Description: - **Column Headers**: - The table is divided into two panels for easier readability. - Each column header begins with a different z-score digit after the decimal point, ranging from .00 to .09. - **Row Headers**: - The row headers denote the z-score's integer and first decimal digit. It ranges from -3.4 to 3.4, increasing in increments of 0.1. - **Cells**: - Each cell in the table corresponds to an area or probability value. This value represents the probability that a standard normal random variable is less than or equal to the z-score, as defined by the intersection of the row and column. ### How to Use the Table: 1. **Identify the Z-Score**: Find the z-score for which you want to determine the probability. It is typically calculated using the formula: \( z = \frac{(X - \mu)}{\sigma} \) where \( X \) is the value, \( \mu \) is the mean, and \( \sigma \) is the standard deviation. 2. **Locate the Row**: Look for the z-score's integer and first decimal digit along the row headers. 3. **Locate the Column**: Use the second decimal place of your z-score to find the corresponding column. 4. **Determine the Probability**: The intersection of the row and column will give the probability that a value is less than the specified z-score. This table is crucial for performing hypothesis testing and confidence interval estimations in various statistical applications.
Transcribed Image Text:The image provides a "Standard Normal Probabilities" table, which is used to determine the probability or area under the standard normal curve (also known as the z-table). This table is essential in statistics for finding probabilities related to the standard normal distribution, widely used in statistical analyses. ### Graph Information: At the top of the image, there is a graphical representation of the standard normal distribution curve (bell curve). It highlights an area under the curve to the left of a specified z-score, indicating the probability that a standard normal random variable will fall within this area. ### Table Description: - **Column Headers**: - The table is divided into two panels for easier readability. - Each column header begins with a different z-score digit after the decimal point, ranging from .00 to .09. - **Row Headers**: - The row headers denote the z-score's integer and first decimal digit. It ranges from -3.4 to 3.4, increasing in increments of 0.1. - **Cells**: - Each cell in the table corresponds to an area or probability value. This value represents the probability that a standard normal random variable is less than or equal to the z-score, as defined by the intersection of the row and column. ### How to Use the Table: 1. **Identify the Z-Score**: Find the z-score for which you want to determine the probability. It is typically calculated using the formula: \( z = \frac{(X - \mu)}{\sigma} \) where \( X \) is the value, \( \mu \) is the mean, and \( \sigma \) is the standard deviation. 2. **Locate the Row**: Look for the z-score's integer and first decimal digit along the row headers. 3. **Locate the Column**: Use the second decimal place of your z-score to find the corresponding column. 4. **Determine the Probability**: The intersection of the row and column will give the probability that a value is less than the specified z-score. This table is crucial for performing hypothesis testing and confidence interval estimations in various statistical applications.
Expert Solution
steps

Step by step

Solved in 2 steps

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