Find the margin of error for the given values of c, o, and n. c= 0.90, o = 2.1, n 81 Click the icon to view a table of common critical values. E= (Round to three decimal places as needed.)

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Author:Amos Gilat
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### Problem 6.1.13

**Task:** Find the margin of error for the given values of confidence level (c), standard deviation (σ), and sample size (n).

- **Given:**
  - Confidence level (c) = 0.90
  - Standard deviation (σ) = 2.1
  - Sample size (n) = 81

**Instructions:** Click the icon to view a table of common critical values.

**Calculation:**

To calculate the margin of error (E), use the formula:
\[ E = z_c \cdot \frac{\sigma}{\sqrt{n}} \]

**Notes:** Round to three decimal places as needed.

### Table of Common Critical Values

- **Level of Confidence** | **z<sub>c</sub>**
  - 90% | 1.645
  - 95% | 1.96
  - 99% | 2.575

**Example Calculation:**
For a 90% confidence level:
\[ E = 1.645 \cdot \frac{2.1}{\sqrt{81}} \]

Enter your answer in the answer box and then click "Check Answer."

**Interface Elements:**
- **Print** button to print the table
- **Done** button to close the table

Ensure all parts are showing before submitting your answer.
Transcribed Image Text:### Problem 6.1.13 **Task:** Find the margin of error for the given values of confidence level (c), standard deviation (σ), and sample size (n). - **Given:** - Confidence level (c) = 0.90 - Standard deviation (σ) = 2.1 - Sample size (n) = 81 **Instructions:** Click the icon to view a table of common critical values. **Calculation:** To calculate the margin of error (E), use the formula: \[ E = z_c \cdot \frac{\sigma}{\sqrt{n}} \] **Notes:** Round to three decimal places as needed. ### Table of Common Critical Values - **Level of Confidence** | **z<sub>c</sub>** - 90% | 1.645 - 95% | 1.96 - 99% | 2.575 **Example Calculation:** For a 90% confidence level: \[ E = 1.645 \cdot \frac{2.1}{\sqrt{81}} \] Enter your answer in the answer box and then click "Check Answer." **Interface Elements:** - **Print** button to print the table - **Done** button to close the table Ensure all parts are showing before submitting your answer.
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