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3. Describe how the shape and standard deviation of a sampling distribution changes as sample size...

3. Describe how the shape and standard deviation of a sampling distribution changes as sample size increases. In other words, describe the changes that occur to a sampling distribution according to the Central Limit Theorem. Make sure you describe what a sampling distribution is in your answer. Generate pictures/diagrams to illustrate your thoughts if you would like.

Math   Statistics-And-Probability   
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Answer #1

As per the Central Limit Theorem, regardless of the shape and distribution of the population, if the sample size is greater than 30(n>=30), the distribution of the sample will be normal and mean will be approximately equal to the population mean and standard deviation of the sample =(Population Sdt. Deviation)/sqrt(n)

μ=x̅

and

s=σ/√n

Here, if we increase the value of the n the value of the s will decrease and shape of the sampling distribution will more accurate i,e accurate Normal.

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