5697. σ=16.7, δ=3.7, γ=0.916. Find the minimum sample size at which, with reliability γ=0.916, the accuracy of estimating the mathematical expectation a of the population based on the sample mean is δ=3.7, if the standard deviation σ=16.7 of a normally distributed population is known.

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