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

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