Some of the most common **misconceptions about confidence intervals** are:
* “There is a 95% chance that the true population mean falls within the confidence interval.” *(FALSE)*
* “The mean will fall within the confidence interval 95% of the time.” *(FALSE)*
While I do know the true definition of confidence intervals, I wonder why the above are not true?
In: Mathematics
If you think about a bell curve, the average is in the middle of bell. Going out +/- 2 standard deviations gives you the range within 95% of the bell curve. The mean always lies within the distribution, not 95% of the time.
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