Problem N5583 probability theory confidence interval
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5583. x̅=116.68, n=36, σ=6. 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, knowing the sample mean x̅=116.68, the sample size n=36 and the standard deviation σ=6.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)