### 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** | **zc** - 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 tableEnsure all parts are showing before submitting your answer.

The margin of error (E) is obtained below From the given information, standard deviation is 2.1 and sample size is 81. Critical value: From the standard normal distribution table, for the 90% confidence level the critical values is (z*) 1.645.The margin of error is, The margin of error (E) is 0.384.

Answered: Find the margin of error for the given…

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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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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

### 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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