It’s also very useful when you’re trying to determine the T value for a confidence interval of 95. This calculator allows a user to enter in the confidence levels of 50%, 60%, 70%, 80%, 90%, 95%, 99%, 99.8%, and 99.9%. This simple confidence interval calculator uses a Z statistic and sample mean (M) to generate an interval estimate of a population mean (μ). confidence interval estimate for means (μ) of known population3. The below are some of the solved example problems which are generated by this confidential interval calculator. Note: You should only use this calculator if (a) your sample size is 30 or greater; and/or (b) you know the population standard deviation (σ), and use this instead of your sample's standard deviation (an unusual situation). Users may refer the below table to choose the corresponding Z-score for the different confidence levels. Your result will appear at the bottom of the page. (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.). The uncertainty in a given random sample (namely that is expected that the proportion estimate, p̂, is a good, but not perfect, approximation for the true proportion p) can be summarized by saying that the estimate p̂ is normally distributed with mean p and variance p(1-p)/n. Calculating confidence intervals: Calculating a confidence interval involves determining the sample mean, X̄, and the population standard deviation, σ, if possible. This calculator will compute the 99%, 95%, and 90% confidence intervals for the mean of a normal population when the population standard deviation is known, given the sample mean, the sample size, and the population standard deviation. The following expression is used to compute the confidence interval for the mean: where the critical value correspond to critical values associated to the t-distribution with \(df = n - 1\) degrees of freddom. 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