Find the area under the standard normal distribution curve between z = 1.37 and z 1.58. Use O The Standard Normal Distribution Table and enter the answer to 4 decimal places. The area between the two z values is

MATLAB: An Introduction with Applications
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**Instructions:**

Find the area under the standard normal distribution curve between \( z = 1.37 \) and \( z = 1.58 \). Use the [Standard Normal Distribution Table](#) and enter the answer to 4 decimal places.

**Input Box:**

The area between the two \( z \) values is [__].

*(Note: There are no graphs or diagrams accompanying this text.)*
Transcribed Image Text:**Instructions:** Find the area under the standard normal distribution curve between \( z = 1.37 \) and \( z = 1.58 \). Use the [Standard Normal Distribution Table](#) and enter the answer to 4 decimal places. **Input Box:** The area between the two \( z \) values is [__]. *(Note: There are no graphs or diagrams accompanying this text.)*
The image displays a standard statistical Z-table used for finding probabilities related to the standard normal distribution. 

### Z-Table Explanation:

- **Columns and Rows**: The table is organized into rows and columns where the rows represent the Z-value up to the first decimal place, and the columns represent the second decimal place.
  
- **Values**: Each cell in the table shows the cumulative probability from 0 to the specified Z-score. 

- **Example Usage**:
  - To find the probability for a Z-score of 0.56, locate 0.5 in the leftmost column and 0.06 in the topmost row. The corresponding value in the table is 0.7123.

- **Table Content**: 
  - The probabilities begin at 0.5000 for Z = 0.0 and increase as Z increases.
  - For Z-scores greater than 3.49, the note at the bottom advises using a value of 0.9999.

This table is commonly used in statistics to calculate probabilities under the standard normal curve, specifically in tasks such as hypothesis testing and confidence interval estimation.
Transcribed Image Text:The image displays a standard statistical Z-table used for finding probabilities related to the standard normal distribution. ### Z-Table Explanation: - **Columns and Rows**: The table is organized into rows and columns where the rows represent the Z-value up to the first decimal place, and the columns represent the second decimal place. - **Values**: Each cell in the table shows the cumulative probability from 0 to the specified Z-score. - **Example Usage**: - To find the probability for a Z-score of 0.56, locate 0.5 in the leftmost column and 0.06 in the topmost row. The corresponding value in the table is 0.7123. - **Table Content**: - The probabilities begin at 0.5000 for Z = 0.0 and increase as Z increases. - For Z-scores greater than 3.49, the note at the bottom advises using a value of 0.9999. This table is commonly used in statistics to calculate probabilities under the standard normal curve, specifically in tasks such as hypothesis testing and confidence interval estimation.
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