Suppose a simple random sample of size n is drawn from a large population with mean and standard deviation. The sampling distribution of has mean ______ and standard deviation ______.

Answers

The sampling distribution of x has a mean μₓ = μ and standard deviation σₓ = σ/√n .

In the question, we are given that a random sample of size n is drawn from a large population with mean μ and standard deviation σ.

We are asked to find the mean and the standard deviation for the sampling distribution of the variable x for this sample.

The sample mean is regularly distributed, with a mean μₓ = μ and standard deviation σₓ = σ/√n, where n is the sample size, for samples of any size taken from populations that have a normal distribution.

Thus, the sampling distribution of x has a mean μₓ= μ and standard deviation σₓ= σ/√n .

sampling distributionof x has ameanμₓ =μandstandard deviationσₓ =σ/√n.populationwithmeanμ andstandard deviationσ.meanand thestandard deviationfor thesampling distributionof the variable x for this sample.sample meanis regularly distributed, with ameanμₓ = μ andstandard deviationσₓ = σ/√n, where n is thesample size, for samples of any size taken from populations that have anormal distribution.sampling distributionof x has ameanμₓ=μandstandard deviationσₓ=σ/√n.sampling distributionat