Problem N5538 probability theory confidence interval

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5538. x̅=4.8, n=49, σ=3. Find a confidence interval with reliability γ=0.95 for an unknown mathematical expectation a of a normal distributed feature X of the general population, if the standard deviation σ=3 of the general population is known and the sample mean x̅=4.8 and sample size n=49 are given.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)