confidence interval for standard deviation
Confidence Intervals
In order to estimate the population mean the standard deviation of this variable in the population must be known Page 5 Estimating the Population Mean |
How to convert 95% confidence interval to standard deviation?
All Answers (30)
1For normal distribution, the boundaries of the 95%-confidence interval are +- 1.96 Standard Errors SE around the true value.
2) SE = s / sqrt(n), with s the sample-based estimate of the standard deviation and n your sample size.3s = SE * sqrt(n)How do you find the confidence interval from the standard deviation?
Since 95% of values fall within two standard deviations of the mean according to the 68-95-99.
7) Rule, simply add and subtract two standard deviations from the mean in order to obtain the 95% confidence interval.
Notice that with higher confidence levels the confidence interval gets large so there is less precision.To capture the central 90%, we must go out 1.645 "standard deviations" on either side of the calculated sample mean.
Is 95% confidence interval same as standard deviation?
No.
The confidence interval is the interval which is likely to contain the true population mean with a pre defined probability.
Very often, the confidence interval which is in use is 95% confidence interval.
However, the Confidence interval is the function of the standard deviation.
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