The interval estimate gives us the range of values within which the population parameter can lie.

Thus, if we have sample mean \bar { x } and standard error { \sigma }_{ \bar { x } }, we can be 68.3% confident that population mean will lie within (\bar { x } \pm\quad\sigma), 95.5% confident that population mean will lie within (\bar { x } \pm\quad2\sigma) and 99.7% confident that population mean will lie within (\bar { x } \pm\quad3\sigma)