Problem N5447 probability theory confidence interval

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5447. x̅=37.7, n=47, σ=1.7. Find the confidence interval for estimating with reliability γ=0.99 the unknown mathematical expectation a of a normally distributed feature X of the general population, if the general standard deviation σ=1.7, sample mean x̅=37.7, sample size n=47.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)