Question

Suppose a large population has mean μ and standard deviation σ, and a simple random sample of size n is taken. The sampling distribution of the sample mean x̄ has mean and variance, respectively, equal to _____________.

Answer 1

If the question had been written as follows:
"Suppose a large population has mean μ and standard deviation σ, and simple random samples of size n are taken. The sampling distribution of the sample means x̄ has mean and variance, respectively, equal to ................"
then the Central Limit Theorem states
\[Mean=\mu\]
\[Variance=\frac{\sigma ^{2}}{n}\]

Answer 2

Thank you!