Problem N5453 probability theory confidence interval

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5453. x̅=23.2, n=37, σ=2.2. Find the confidence interval for estimating with reliability γ=0.95 the unknown mathematical expectation a of a normally distributed feature X of the general population, if the general standard deviation σ=2.2, sample mean x̅=23.2, sample size n=37.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)