The above definition is used when the standard deviation \( \sigma \) of the population \( P \) is known andġ) either the population \( P \) is normally distributedĢ) or the population \( P \) is NOT normally distributed but the sample size \( n \) is greater than \( 30 \).Įnter the sample size \( n \ge 30 \) as a positive integer, the sample mean \( \bar X \), the population standard deviation \( \sigma \) as a positive real number and the level of confidence (percentage) as a positive real number greater than \( 0 \) and smaller than \( 100 \).
Confidence Interval Using Normal Distribution CalculatorĪn online and easy to use calculator that calculates the confidence interval with a certain percentage, using the normal distribution, is presented.Īn online confidence interval using t distribution calculator is included.ĭefinition of Confidence Interval for the Normal Distributionįor a sample of size \( n \) from a population that has a standard deviation \( \sigma \), we define a \( (1-\alpha)100\% \) confidence interval for \( \mu \) as
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