Assume that population mean is to be estimated from the sample described. Use the sample results to approximate the margin of error and 95% confidence interval. n=36, x = 59.1 seconds, s=4.9 seconds The margin of error is seconds. (Round to one decimal place as needed.)

MATLAB: An Introduction with Applications
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**Estimating Population Mean: Approximating the Margin of Error and 95% Confidence Interval**

To estimate the population mean from a given sample, use the sample results to approximate the margin of error and the 95% confidence interval.

**Sample Data:**
- Sample size (\( n \)): 36
- Sample mean (\( \bar{x} \)): 59.1 seconds
- Sample standard deviation (\( s \)): 4.9 seconds

---

**Margin of Error Calculation:**
\[ \text{The margin of error is } \_\_\_\_ \text{ seconds.} \]
*(Round to one decimal place as needed)*
Transcribed Image Text:**Estimating Population Mean: Approximating the Margin of Error and 95% Confidence Interval** To estimate the population mean from a given sample, use the sample results to approximate the margin of error and the 95% confidence interval. **Sample Data:** - Sample size (\( n \)): 36 - Sample mean (\( \bar{x} \)): 59.1 seconds - Sample standard deviation (\( s \)): 4.9 seconds --- **Margin of Error Calculation:** \[ \text{The margin of error is } \_\_\_\_ \text{ seconds.} \] *(Round to one decimal place as needed)*
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