Problem N5430 probability theory confidence interval

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5430. x̅=3.4, n=49, σ=1. The random variable X has a normal distribution with a known standard deviation σ=1. Find the confidence intervals for estimating the unknown mathematical expectation a from the sample means x̅=3.4 if the sample size is n=49 and the reliability of the estimate is γ=0.9.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)