Confidence Interval Calculator (Lower & Upper Bound)
Confidence intervals are crucial in statistical analysis, providing a range of values within which we can be confident that the true population parameter lies. The confidence interval calculator lower & upper bound helps you determine this range, enabling you to make informed decisions based on your data.
- Enter your sample size, confidence level, mean, and standard deviation.
- Click ‘Calculate’.
- View the results, including the lower and upper bounds of the confidence interval.
- Interpret the results to draw conclusions about your population parameter.
The formula for a confidence interval is:
mean ± (z * (std_dev / √n))
where:
meanis the sample mean,zis the z-score based on the desired confidence level,std_devis the standard deviation, andnis the sample size.
| Confidence Level | Z-Score | Margin of Error |
|---|---|---|
| 90% | 1.645 | 0.098 |
| 95% | 1.96 | 0.118 |
| 99% | 2.576 | 0.155 |
- Always use the appropriate z-score for your desired confidence level.
- Ensure your sample size is large enough to provide a reliable estimate.
- Consider using a t-distribution instead of a z-score if your sample size is small.
What is a confidence interval?
A confidence interval is a range of values within which we can be confident that the true population parameter lies.
For more information, see the expert guide on confidence intervals from Statistics How To.
You can also explore the wide range of statistical topics covered on their website.