Problem N5559 probability theory confidence interval

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5559. x̅=112.4, n=26, σ=7. Given the standard deviation σ=7, the sample mean x̅в=112.4 and the sample size n=26 of a normally distributed feature of the general population. Find confidence intervals for estimating the general mean x̅g with a given reliability γ=0.95.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)