Statistics Question:
Explain central limit theorem?
Answer:
As the sample size increases, the sampling distribution of sample
means approaches a normal distribution
If all possible random samples of size n are selected from a population with mean μ and standard deviation σ, the mean of the sample means is denoted by μ x̄ , so
μ x̄ = μ
the standard deviation of the sample means is:
σ x̄ = σ⁄√ n
means approaches a normal distribution
If all possible random samples of size n are selected from a population with mean μ and standard deviation σ, the mean of the sample means is denoted by μ x̄ , so
μ x̄ = μ
the standard deviation of the sample means is:
σ x̄ = σ⁄√ n
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