Suppose you are sampling from a normal distribution with a known variance and you want to construct a confidence interval for the mean

Statistics Nov 17, 2020

Suppose you are sampling from a normal distribution with a known variance and you want to construct a confidence interval for the mean. You have an estimator for the mean X, the sample mean. Suppose that the sample mean that you compute for your sample is equal to 10 and that the sample mean has variance 4, i.e. var (X) = . ~ 4. What are the bounds on the corresponding 95% confidence interval?