Problem N5438 probability theory confidence interval

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5438. x̅=2000, n=10, σ=30. Find the confidence interval for estimating with reliability γ=0.95 the unknown mathematical expectation a of a normally distributed feature X of the general population, if the general standard deviation σ=30, the sample mean x̅v=2000 and the sample size n=10.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)