Since a confidence interval is found by adding and subtracting a margin of error amount from the sample mean, and the interval has a probability of containing the true mean, then you can think of this...Since a confidence interval is found by adding and subtracting a margin of error amount from the sample mean, and the interval has a probability of containing the true mean, then you can think of this as the statement P(¯x−E<μ<¯x+E)=C. If some of the assumptions are not met, note that the results of the interval may not be correct and then continue the process of the confidence interval.