Problem N5695 probability theory sample size

Problem N5695 probability theory sample size

5695. σ=14.8, δ=3.2, γ=0.935. Find the minimum sample size at which, with reliability γ=0.935, the accuracy of estimating the mathematical expectation a of the general population by the sample mean is δ=3.2, if the standard deviation σ=14.8 of a normally distributed general population is known.

Additional information:

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)