We are \((1-\alpha)100\%\) confident that the mean of all individuals is higher than \(z_{\alpha} \text{(sample) standart deviations} \frac{\sigma}{\sqrt{n}} \text{below the sample mean}\ \overline{x}\).

We are \((1-\alpha)100\%\) confident that the mean of all individuals is higher than \(z_{\alpha} \text{(sample) standart deviations} \frac{\sigma}{\sqrt{n}} \text{above the sample mean}\ \overline{x}\).