Problem N5571 probability theory confidence interval

Problem N5571 probability theory confidence interval

5571. x̅=3, n=400, σ=29. Determine the confidence interval for estimating with reliability γ=0.94 the unknown mathematical expectation a of the normally distributed feature X of the general population, if the sample mean x̅в=3, the sample size n=400 and the general standard deviation σ=29 are known.

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Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)