Problem N5590 probability theory confidence interval
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5590. x̅=4.28, n=64, σ=4. Find the confidence interval for estimating with a reliability of 0.99 the unknown mathematical expectation a of a normally distributed feature X of the general population, if the general standard deviation σ=4, the sample mean x̅v=4.28 and the sample size n=64 are known.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)