Problem N5589 probability theory confidence interval

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5589. x̅=20.2, n=16, σ=2. Find the confidence interval for estimating with a reliability of 0.95 the unknown mathematical expectation a of a normally distributed feature X of the general population, if the general standard deviation σ=2, the sample mean x̅v=20.2 and the sample size n=16 are known.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)