Problem N5578 probability theory confidence interval

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5578. x̅=20, n=900, σ=14. Determine the confidence interval for estimating with reliability γ=0.975 the unknown mathematical expectation a of the normally distributed feature X of the general population, if the sample mean x̅в=20, the sample size n=900 and the general standard deviation σ=14 are known.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)