Statistics Th? C?ntral Limit Th?or?m & Normal Distribution Questions

/ Discussion / By

The distribution of sample means has the same mean as the underlying population, but the standard deviation differs.  Use a real world scenario to explain why it makes sense the variation decreases as the sample size increases.

To help demonstrate the understanding of the process of your initial posting – provide a calculation of the normal distribution with a chosen sample size and redo the sample size with a larger number (e.g. compare a sample size of 64 versus 100).  

The distribution of sample means has the same mean as the underlying population, but the standard deviation differs.  Use a real world scenario to explain why it makes sense the variation decreases as the sample size increases. To help demonstrate the understanding of the process of your initial posting – provide a calculation of the normal distribution with a chosen sample size and redo the sample size with a larger number (e.g. compare a sample size of 64 versus 100).  

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