Week5_Part_B - Week 5 Central Limit Theorem Sampling...

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Week 5: Central Limit Theorem l Sampling Distributions l Central Limit Theorem l Probability and the Central Limit Theorem x x x x x x x x x x x x x x x x x x x x x x x x μ
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2 1 A sampling distribution is the probability distribution of a sample statistic that is formed when samples of size n are repeatedly taken from a population. If the sample statistics is the sample mean, then the distribution is the sampling distribution of the sample means. The sampling distribution consists of the values of the sample means, ,... , , , , , 6 5 4 3 2 1 x x x x x x 2 x Sampling Distributions Population with mean ( u ) 4 x 1 x 5 x 3 x 6 x μ μ = x n x σ σ =
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3 μ x x x x x x x x x x x x x x x x x x x x x x x x x x the sample means will have a normal distribution The Central Limit Theorem If a sample n  30 is taken from a population with any type distribution that has a mean =  and standard deviation =  μ μ μ = x with a mean n x σ σ = and standard deviation
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4 If a sample of any size is taken from a population with
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