, the desired probabilistic level at which the obtained interval will contain the population parameter.
If you are a good business man then they don't.
An open interval centered about the point estimate, .
In a study using 9 samples, and in which the population variance is unknown, the distribution that should be used to calculate confidence intervals is
The standard deviation associated with a statistic and its sampling distribution.
They are related but they are NOT the same.
confidence intervals
Statistical estimates cannot be exact: there is a degree of uncertainty associated with any statistical estimate. A confidence interval is a range such that the estimated value belongs to the confidence interval with the stated probability.
, the desired probabilistic level at which the obtained interval will contain the population parameter.
Esa I. Uusipaikka has written: 'Confidence intervals in generalized regression models' -- subject(s): Regression analysis, Linear models (Mathematics), Statistics, Confidence intervals
Confidence intervals represent a specific probability that the "true" mean of a data set falls within a given range. The given range is based off of the experimental mean.
No. For instance, when you calculate a 95% confidence interval for a parameter this should be taken to mean that, if you were to repeat the entire procedure of sampling from the population and calculating the confidence interval many times then the collection of confidence intervals would include the given parameter 95% of the time. And sometimes the confidence intervals would not include the given parameter.
If you are a good business man then they don't.
An open interval centered about the point estimate, .
Length
In a study using 9 samples, and in which the population variance is unknown, the distribution that should be used to calculate confidence intervals is
There are an infinite number of confidence intervals; different disciplines and different circumstances will determine which is used. Common ones are 50% (is the event likely?), 75%, 90%, 95%, 99%, 99.5%, 99.9%, 99.99% etc.