# Confidence Limits for Mean Calculator

This is an online Confidence Limits for Mean calculator to find out the lower and upper confidence limits for the given confidence intervals. In this confidence limits calculator enter the percentage of confidence limit level, which ranges from 90 % to 99 %, sample size, mean and standard deviation to know the lower and upper confidence limits.

## Confidence Limits for Mean Calculation

This is an online Confidence Limits for Mean calculator to find out the lower and upper confidence limits for the given confidence intervals. In this confidence limits calculator enter the percentage of confidence limit level, which ranges from 90 % to 99 %, sample size, mean and standard deviation to know the lower and upper confidence limits.

Code to add this calci to your website

#### Formula:

If (n>=30),
CI = x ± Z_{α/2} × (σ/√n)
If (n<30),
CI = x ± t_{α/2} × (σ/√n)
**Where,**
x = Mean
σ = Standard Deviation
α = 1 - (Confidence Level/100)
Z_{α/2} = Z-table value
t_{α/2} = t-table value
CI = Confidence Interval
**Confidence Limits for Mean Calculator** helps you find the confidence limits for the given confidence interval of mean. Confidence limits are the numbers at the upper and lower end of a confidence interval (CI). Confidence Interval describes the uncertainty associated with a sampling method (i.e.) the amount associated with a sample of a population parameter. CI is defined as a range of values, bounded by confidence limits. It determines the probability that the confidence level produced will contain the true parameter value. This simple online, statistical Confidence limits for mean calculator helps you in the Confidence Limits for Mean calculation, based on standard deviation.

#### Example

**Find the confidential limits for mean. The Sample Size (n) is 31, Mean (x) is 45 and Standard Deviation (σ) is 52 for the confidential level of 92**

Here the sample size is 31, (n>30),

Therefore the CI mentioned below:

CI = x ± Z_{α/2} * (σ / √n)

CI = 45 ± 1.75 * (52 / √31)

CI = 28.656 < μ < 61.344.