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Find the Z-score such that the area under the standard normal curve to the left is 0.52. Click the icon to view a table of areas under the normal curve. ..... is the Z-score such that the area under the curve to the left is 0.52. (Round to two decimal places as needed.)

Find the Z-score such that the area under the standard normal curve to the left is 0.52. Click the icon to view a table of areas under the normal curve. ..... is the Z-score such that the area under the curve to the left is 0.52. (Round to two decimal places as needed.)

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
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--- Find the Z-score such that the area under the standard normal curve to the left is 0.52.
Transcribed Image Text:--- Find the Z-score such that the area under the standard normal curve to the left is 0.52.
### Understanding the Standard Normal Distribution Table (Table V) #### Overview: This is a Standard Normal Distribution table, commonly referred to as a Z-table. It is used in statistics to determine the probability that a statistic is observed below, above, or between values on the standard normal distribution. The values are probabilities associated with standard normal variables, which have a mean of 0 and a standard deviation of 1. #### Table Structure: - **Header**: The top row provides the column headings for different decimal places (.00 to .09). - **Leftmost Column**: This column lists the z-scores from -3.4 to 3.4 in increments of 0.1. #### Usage: To find the probability associated with a particular z-score: - Locate the z-score in the leftmost column (e.g., for a z-score of 1.2). - Move horizontally along the row of the chosen z-score until you intersect with the correct column representing the second decimal place of your z value (e.g., for 1.25, use the column under .05). - The cell where the row and column intersect gives the probability (e.g., for z = 1.25, the probability is approximately 0.8944). #### Graph: - **Description**: The accompanying graph shows a standard normal distribution curve with mean 0. - **Highlight**: The area to the left of the z-score line is shaded, representing the cumulative probability up to that z-score. ### Example: If you want to know the probability of a z-score less than 1.25: - Locate 1.2 in the left column. - Move across to the .05 column. - The intersection value, 0.8944, represents the probability. This Z-table is essential for statistical analysis, especially in determining probabilities and z-scores in normal distribution scenarios.
Transcribed Image Text:### Understanding the Standard Normal Distribution Table (Table V) #### Overview: This is a Standard Normal Distribution table, commonly referred to as a Z-table. It is used in statistics to determine the probability that a statistic is observed below, above, or between values on the standard normal distribution. The values are probabilities associated with standard normal variables, which have a mean of 0 and a standard deviation of 1. #### Table Structure: - **Header**: The top row provides the column headings for different decimal places (.00 to .09). - **Leftmost Column**: This column lists the z-scores from -3.4 to 3.4 in increments of 0.1. #### Usage: To find the probability associated with a particular z-score: - Locate the z-score in the leftmost column (e.g., for a z-score of 1.2). - Move horizontally along the row of the chosen z-score until you intersect with the correct column representing the second decimal place of your z value (e.g., for 1.25, use the column under .05). - The cell where the row and column intersect gives the probability (e.g., for z = 1.25, the probability is approximately 0.8944). #### Graph: - **Description**: The accompanying graph shows a standard normal distribution curve with mean 0. - **Highlight**: The area to the left of the z-score line is shaded, representing the cumulative probability up to that z-score. ### Example: If you want to know the probability of a z-score less than 1.25: - Locate 1.2 in the left column. - Move across to the .05 column. - The intersection value, 0.8944, represents the probability. This Z-table is essential for statistical analysis, especially in determining probabilities and z-scores in normal distribution scenarios.
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