I am having trouble understanding z-score. Ex: I am given z.1/2 = z.05 how do I find the z value and look it up in the z table? In class, it was 1.645 I just don't understand how they got that. I put a table with this question, can you draw how you used it? # Understanding Standard Normal Distribution TablesThe image provides a comprehensive view of the standard normal distribution tables for negative and positive z-scores, essential tools in statistics for finding the probability that a statistic is observed below, above, or between values on the standard normal distribution.## Table of Standard Normal Probabilities for Negative Z-scores- **Description**: This table displays probabilities associated with negative z-scores. It is located on the left side of the image.- **Graph**: Accompanied by a bell curve illustration indicating the left tail of the normal distribution. ### Reading the Table:- **Z-scores**: The z-scores are listed in the first column, ranging from approximately -3.4 to 0.0.- **Probability Values**: Each cell contains the cumulative probability for the respective z-score. These represent the area under the curve to the left of the given z-score.## Table of Standard Normal Probabilities for Positive Z-scores- **Description**: This table includes probabilities for positive z-scores and is on the right side of the image.- **Graph**: Shows a bell curve highlighting the right part of the normal distribution.### Reading the Table:- **Z-scores**: Z-scores start at 0.0 and rise to about 3.4.- **Probability Values**: Like the negative table, it shows cumulative probabilities for each z-score to the left under the curve.## Notes:- Both tables are crucial in calculating probabilities in statistical analyses.- They highlight that the listed probabilities represent areas to the left of the z-scores on the distribution curve.- **Complementary Area**: To find the area to the right, subtract the tabulated value from 1.These tables are foundational in statistics, particularly in hypothesis testing and confidence interval calculations, helping to understand data trends and anomalies by comparing sample and population means within the context of normal distribution.

I am having trouble understanding z-score. Ex: I am given z.1/2 = z.05 how do I find the z value and look it up in the z table? In class, it was 1.645 I just don't understand how they got that. I put a table with this question, can you draw how you used it?

I am having trouble understanding z-score. Ex: I am given z.1/2 = z.05 how do I find the z value and look it up in the z table? In class, it was 1.645 I just don't understand how they got that. I put a table with this question, can you draw how you used it?

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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Question

I am having trouble understanding z-score. Ex: I am given z_.1/2 = z_.05 how do I find the z value and look it up in the z table? In class, it was 1.645 I just don't understand how they got that. I put a table with this question, can you draw how you used it?

# Understanding Standard Normal Distribution Tables

The image provides a comprehensive view of the standard normal distribution tables for negative and positive z-scores, essential tools in statistics for finding the probability that a statistic is observed below, above, or between values on the standard normal distribution.

## Table of Standard Normal Probabilities for Negative Z-scores

- **Description**: This table displays probabilities associated with negative z-scores. It is located on the left side of the image.
- **Graph**: Accompanied by a bell curve illustration indicating the left tail of the normal distribution.

### Reading the Table:
- **Z-scores**: The z-scores are listed in the first column, ranging from approximately -3.4 to 0.0.
- **Probability Values**: Each cell contains the cumulative probability for the respective z-score. These represent the area under the curve to the left of the given z-score.

## Table of Standard Normal Probabilities for Positive Z-scores

- **Description**: This table includes probabilities for positive z-scores and is on the right side of the image.
- **Graph**: Shows a bell curve highlighting the right part of the normal distribution.

### Reading the Table:
- **Z-scores**: Z-scores start at 0.0 and rise to about 3.4.
- **Probability Values**: Like the negative table, it shows cumulative probabilities for each z-score to the left under the curve.

## Notes:
- Both tables are crucial in calculating probabilities in statistical analyses.
- They highlight that the listed probabilities represent areas to the left of the z-scores on the distribution curve.
- **Complementary Area**: To find the area to the right, subtract the tabulated value from 1.

These tables are foundational in statistics, particularly in hypothesis testing and confidence interval calculations, helping to understand data trends and anomalies by comparing sample and population means within the context of normal distribution.

Expert Solution

Step 1

For a z-score, z = 0.5

From the given table, we find the probability of z=0.5 in less than case.

Step by step

Solved in 2 steps with 1 images

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