A sampling distribution is a probability distribution created by selecting many random samples from a given population.

This calculator helps you find the probability that the sample mean falls below or above a specific random variable.

You need to provide the population mean (μ), the standard deviation (σ), the sample size (n), and the random variable (X) you want to estimate:

P(`X̄`

≤ 6): 0.05880

P(`X̄`

≥ 6): 0.94120

The result shows the probability that the sample mean (`X̄`

) falls below or above a certain value (X).

The mean of the sampling distribution is the same as the population mean (`X̄`

= μ)

I hope this calculator is useful. Happy analyzing!