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how do you find the sample mean when given the confidence interval. When the population standard deviation s is unknown the sample standard deviation is used to estimate s in the confidence interval formula. This is the t- value for a 95 confidence interval for the mean with a sample size of 10.
So the sample mean is 0318. In the large-sample case a 95 confidence interval estimate for the population mean is given by x 196s Square root ofn. Sample mean x 12.
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.
For example the population mean m is found using the sample mean x. The sample mean is the center of the confidence interval. You can choose the method that is easier to use with the information you know. To state the confidence interval you just have to take the mean or the average 180 and write it next to and the margin of error.