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 ($\bar { x } \pm\quad3\sigma$)