Find zα/2 for α=0.14.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Find zα/2 for α=0.14.

The image displays a segment of the standard normal distribution table, often used in statistics to find the probability that a statistic is observed below a certain value (known as the z-score) in a standard normal distribution.

### Diagram Explanation

At the top, there is a bell-shaped curve, representing the normal distribution graph. The shaded area under the curve highlights a section, which corresponds to the probability associated with a specific z-score value. The horizontal axis is marked with the label "z", identifying the z-score.

### Table Explanation

The table below the graph shows a portion of z-score values and their corresponding cumulative probabilities.

- The leftmost column lists z-scores from 0.0 to 1.1, increasing in increments of 0.1.
- The top row lists decimal increments from 0.00 to 0.09.
- The intersecting cells contain the cumulative probability values.

#### Example

To find the cumulative probability for a z-score of 0.54:
- Locate 0.5 in the leftmost column.
- Move across the row to the column marked .04.
- The cumulative probability from the table is 0.2054.

This table is an essential tool for statistical analysis, allowing researchers to determine the likelihood that a data point lies below a given z-score within a normal distribution.
Transcribed Image Text:The image displays a segment of the standard normal distribution table, often used in statistics to find the probability that a statistic is observed below a certain value (known as the z-score) in a standard normal distribution. ### Diagram Explanation At the top, there is a bell-shaped curve, representing the normal distribution graph. The shaded area under the curve highlights a section, which corresponds to the probability associated with a specific z-score value. The horizontal axis is marked with the label "z", identifying the z-score. ### Table Explanation The table below the graph shows a portion of z-score values and their corresponding cumulative probabilities. - The leftmost column lists z-scores from 0.0 to 1.1, increasing in increments of 0.1. - The top row lists decimal increments from 0.00 to 0.09. - The intersecting cells contain the cumulative probability values. #### Example To find the cumulative probability for a z-score of 0.54: - Locate 0.5 in the leftmost column. - Move across the row to the column marked .04. - The cumulative probability from the table is 0.2054. This table is an essential tool for statistical analysis, allowing researchers to determine the likelihood that a data point lies below a given z-score within a normal distribution.
The image displays a z-table, which is used in statistics to find the probability of a statistic falling below a particular z-score in a standard normal distribution. The table lists z-scores in the first column and corresponding probabilities in the remaining columns.

### Explanation of the Table:

- **Rows and Columns:**
  - The leftmost column shows the integer and first decimal of z-scores (from 1.1 to 3.0).
  - The top row shows the second decimal place of z-scores (from 0 to 0.09).

- **How to Use the Table:**
  - To find the probability for a z-score, locate the first part of the z-score in the left column. For example, for a z-score of 1.23, find 1.2 in the first column.
  - Next, locate the second decimal in the top row (0.03 for 1.23).
  - Find the intersection of the row and column, which gives the probability (0.3917 for a z-score of 1.23).

This table helps determine the cumulative probability of a z-score being below a given value in a standard normal distribution.
Transcribed Image Text:The image displays a z-table, which is used in statistics to find the probability of a statistic falling below a particular z-score in a standard normal distribution. The table lists z-scores in the first column and corresponding probabilities in the remaining columns. ### Explanation of the Table: - **Rows and Columns:** - The leftmost column shows the integer and first decimal of z-scores (from 1.1 to 3.0). - The top row shows the second decimal place of z-scores (from 0 to 0.09). - **How to Use the Table:** - To find the probability for a z-score, locate the first part of the z-score in the left column. For example, for a z-score of 1.23, find 1.2 in the first column. - Next, locate the second decimal in the top row (0.03 for 1.23). - Find the intersection of the row and column, which gives the probability (0.3917 for a z-score of 1.23). This table helps determine the cumulative probability of a z-score being below a given value in a standard normal distribution.
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