Problem N5671 probability theory sample size

Problem N5671 probability theory sample size

5671. σ=4.3, δ=0.5, γ=0.95. Find the minimum sample size at which, with reliability γ=0.95, the accuracy of estimating the mathematical expectation of a normally distributed population based on the sample mean is δ=0.5, if the standard deviation σ=4.3 of a normally distributed population is known.

Additional information:

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