Problem N5445 probability theory confidence interval

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5445. x̅=16.2, n=20, σ=4. 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=4, the sample mean x̅v=16.2 and the sample size n=20.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)