Problem N5587 probability theory confidence interval

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5587. x̅=25.7, n=67, σ=2.5. Find the confidence interval for the mathematical expectation a of a normally distributed quantitative attribute X of the general population with reliability γ=0.95, knowing the sample mean x̅в=25.7, the sample size n=67 and the standard deviation σ=2.5.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)