Statistics 100 B Instructor : Nicolas Christou The Central Limit Theorem
نویسنده
چکیده
The central limit theorem states that the sample mean X̄ follows approximately the normal distribution with mean μ and standard deviation σ √ n , where μ and σ are the mean and standard deviation of the population from where the sample was selected. The sample size n has to be large (usually n ≥ 30) if the population from where the sample is taken is nonnormal. If the population follows the normal distribution then the sample size n can be either small or large. To summarize: X̄ ∼ N(μ, σ √ n ). To transform X̄ into z we use: z = x̄−μ σ √ n
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Department of Statistics Statistics C 173 / C 273 Instructor : Nicolas Christou Co - kriging
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