Problem N5568 probability theory confidence interval

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5568. x̅=52, n=400, σ=10. Determine the confidence interval for estimating with reliability γ=0.97 the unknown mathematical expectation a of the normally distributed feature X of the general population, if the sample mean x̅в=52, the sample size n=400 and the general standard deviation σ=10 are known.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)