Sample mean x 12. Where Z is the Z-value for the chosen confidence level X is the sample mean s is the standard deviation and n is the sample size. For example the population mean m is found using the sample mean x.
Second the steps for calculating confidence intervals are very similar regardless of the type of confidence interval you are trying to find.
The confidence interval is the actual upper and lower bounds of the estimate you expect to find at a given level of confidence. The sample mean is the center of the confidence interval. Suppose you take a random sample of 100 fingerlings and determine that the average length is 75 inches. The specific type of confidence interval that will be examined below is a two-sided confidence interval for a population mean when you know the population standard deviation.