Problem N5588 probability theory confidence interval

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5588. x̅=10, n=49, σ=7. Find the confidence interval for estimating with a reliability of 0.9 the unknown mathematical expectation a of a normally distributed feature X of the general population, if the general standard deviation σ=7, the sample mean x̅v=10 and the sample size n=49 are known.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)