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.