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Standard Error of the Mean vs. Standard Deviation

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When we move from the basic normal distribution to the sampling distribution of the mean we substitute the standard error of the mean for the standard deviation when we make the conversion to the standardized normal distribution. Why do we use the standard error of the mean in this case? And how does using the standard error affect our confidence intervals calculations? (Hint - these two issues are related).

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Solution Summary

The solution determines the standard error of the mean versus standard deviation.

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