Standard error = 1.6, confidence level 95%  What is the margin of error?

To calculate the **margin of error** for a 95% confidence level, we use the formula:

\[
\text{Margin of Error} = Z \cdot \text{Standard Error}
\]

Here:
- **Standard Error** (\(SE\)) = 1.6
- The \(Z\)-value for a 95% confidence level = 1.96 (from the standard normal distribution table)

Now, compute:

\[
\text{Margin of Error} = 1.96 \cdot 1.6 = 3.136
\]

### Final Answer:
The **margin of error** is approximately **3.14**.

Would you like details on this calculation or further assistance? 

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Here are 5 related questions you may find useful:
1. How do you interpret a confidence interval using the margin of error?
2. What is the \(Z\)-value for a 99% confidence level?
3. How would the margin of error change if the standard error were larger or smaller?
4. What factors influence the standard error in a dataset?
5. How is the margin of error affected by different confidence levels?

**Tip:** Always round your results to the appropriate number of decimal places, especially when reporting for scientific or statistical use.

Standard error = 1.6, confidence level 95%. What is the margin of error?

Learn how to calculate the margin of error for a 95% confidence level given a standard error of 1.6. This detailed solution includes the formula 'Margin of Error = Z * Standard Error' and uses a Z-value of 1.96 to find the result. Ideal for high school and undergraduate statistics students.

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