Find the Z-score such that the area under the standard normal curve to the right is 0.45 Click the icon to view a table of areas under the normal curve The approximate Z-score that corresponds to a right tail area of 0.45 is (Round to two decimal places as needed) Tables of Areas under the Normal Curve A SAN BATT GATTA GAME AM 1223 333333333333333 aaaa aaaaa aaa AS GARS BILLE GEN CONS OPPED LAVE LINE 22 23 WIS 24 BACK LIMMY 12 LISH LIR GMIC ARC LOT Awame SMILE SMA LMUS GMCD SPAD BLFF WOLLIW WALE ONCE HALE PAKD PAYS 1440 BATTE BAR CARA 45 67157 670 4.724 4THT 4TH 47426764 476 67517 8.759 8774 67TH 6.7764 87794 47823 67012 ENTS SENSES sans caus BAI SA 06517 BLUES SHED wars chas AND AND MOT SLOT S249 SHIVE BAT54 GT GAM LOW GES Em LING LINE LA EXP GRIS GRIGAT GAZ GE BICH 400 FROM GION AVOND ANIS 6309 AMB WEAD HAD LIMED CINED WI LAD SEMED ARTH AFH X

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Educational Website Transcription:**

---

### Finding Z-Scores for the Normal Curve

In this tutorial, you will learn how to find the Z-score such that the area under the standard normal curve to the right is 0.45.

1. **Start by accessing the appropriate table of areas under the normal curve.** Click on the icon to view a detailed table of areas under the normal curve.

    ![Table Screenshot](link-to-image-if-applicable.png)

    On this page, you will see a screenshot of a table that provides the cumulative areas corresponding to various Z-scores under the standard normal distribution.

2. **Locate the approximate Z-score for the given area.** The problem requires the Z-score corresponding to a right-tail area of 0.45.

    To find this, you will need to:
    - Identify the desired cumulative area (1 - 0.45 = 0.55) since tables typically provide the area to the left of the Z-score.
    - Look up the cumulative area of 0.55 in the table.

3. **Enter the Z-score.** Once you have located the correct value, round the Z-score to two decimal places and enter it in the provided space.
   
   **Input:**
   ```
   The approximate Z-score that corresponds to a right tail area of 0.45 is __________.
   ```

**Note**: If your table provides cumulative areas from the mean (0.5) or uses a different format, be sure to adjust your lookup process accordingly.

**Example:**

Using the table of areas, if we look for an area of 0.55, the corresponding Z-score is approximately 0.13. Hence,

```
The approximate Z-score that corresponds to a right tail area of 0.45 is 0.13.
```

---

### Understanding the Table of Areas under the Normal Curve

The table displayed on the screen is crucial for finding Z-scores and understanding probabilities related to the normal distribution. Here is how to read it:

- **Rows and Columns**: The rows and columns in the table represent the Z-scores. The value at the intersection of a specific row and column is the area (probability) to the left of that Z-score.

- **Example of Usage**: To find the area to the left of Z = 0.13, locate the row for Z = 0.1 and the column for
Transcribed Image Text:**Educational Website Transcription:** --- ### Finding Z-Scores for the Normal Curve In this tutorial, you will learn how to find the Z-score such that the area under the standard normal curve to the right is 0.45. 1. **Start by accessing the appropriate table of areas under the normal curve.** Click on the icon to view a detailed table of areas under the normal curve. ![Table Screenshot](link-to-image-if-applicable.png) On this page, you will see a screenshot of a table that provides the cumulative areas corresponding to various Z-scores under the standard normal distribution. 2. **Locate the approximate Z-score for the given area.** The problem requires the Z-score corresponding to a right-tail area of 0.45. To find this, you will need to: - Identify the desired cumulative area (1 - 0.45 = 0.55) since tables typically provide the area to the left of the Z-score. - Look up the cumulative area of 0.55 in the table. 3. **Enter the Z-score.** Once you have located the correct value, round the Z-score to two decimal places and enter it in the provided space. **Input:** ``` The approximate Z-score that corresponds to a right tail area of 0.45 is __________. ``` **Note**: If your table provides cumulative areas from the mean (0.5) or uses a different format, be sure to adjust your lookup process accordingly. **Example:** Using the table of areas, if we look for an area of 0.55, the corresponding Z-score is approximately 0.13. Hence, ``` The approximate Z-score that corresponds to a right tail area of 0.45 is 0.13. ``` --- ### Understanding the Table of Areas under the Normal Curve The table displayed on the screen is crucial for finding Z-scores and understanding probabilities related to the normal distribution. Here is how to read it: - **Rows and Columns**: The rows and columns in the table represent the Z-scores. The value at the intersection of a specific row and column is the area (probability) to the left of that Z-score. - **Example of Usage**: To find the area to the left of Z = 0.13, locate the row for Z = 0.1 and the column for
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