After calculating the 90% confidence interval for a mean I get that:
Lower Limit = 3 Mean = 4 Upper Limit = 7
How can I use this results given the following interpretation of CIs?
Were this procedure to be repeated on numerous samples, the fraction of calculated confidence intervals that encompass the true population parameter would tend toward 90%. Source: https://en.wikipedia.org/wiki/Confidence_interval
Where do the numbers 3 and 7 fit in the definition? Each of the samples result on different calculated confidence intervals. Why is the calculation of the CI necessary in the first place?
The following definition of confidence intervals uses the 3 and 7:
Interval that will bracket the true value of the parameter in 90% of the instances of an experiment that is repeated a large number of times Source: Why does a 95% Confidence Interval (CI) not imply a 95% chance of containing the mean?
Is the first one just wrong?