Problem N5446 probability theory confidence interval

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5446. x̅=15, n=16, σ=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=7, the sample mean x̅v=15 and the sample size n=16.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)