How Minitab estimates missing standard deviations with a confidence limit

When you enter an upper confidence limit:

σ = (upper confidence limit – μ) / Zα

When you enter a lower confidence limit:

σ = (μ – lower confidence limit) / Zα

α-value Zα equals
80 0.84162
90 1.28155
95 1.64485
99 2.32635