Skip to content Skip to footer

Normal Confidence Interval Calculator

Normal Confidence Interval Calculator

Normal Confidence Interval Calculator

Enter the sample mean, standard deviation, sample size, and confidence level to calculate the normal confidence interval.

* Note: Confidence level must be between 0 and 100 (exclusive).

Step 1: Enter Parameters

e.g., 0

e.g., 1

e.g., 30

e.g., 95 for 95% confidence

How It Works

The confidence interval for the mean is calculated as: $$ \bar{x} \pm z_{\alpha/2} \cdot \frac{\sigma}{\sqrt{n}}, $$ where \( z_{\alpha/2} \) is the critical value from the standard normal distribution.

The critical value \( z_{\alpha/2} \) is determined by the desired confidence level.

Formula: \( \bar{x} \pm z_{\alpha/2} \cdot \frac{\sigma}{\sqrt{n}} \)

Related Calculators