Problem N5693 probability theory sample size

Problem N5693 probability theory sample size

5693. σ=27.3, δ=7.6, γ=0.945. Find the minimum sample size at which, with reliability γ=0.945, the accuracy of estimating the mathematical expectation a of the population based on the sample mean is δ=7.6, if the standard deviation σ=27.3 of a normally distributed population is known.

Additional information:

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