5542. x̅=25.42, n=36, σ=8. The standard deviation σ=8 of a normally distributed random variable X, the sample mean x̅v=25.42, and the sample size n=36 are given. Find the confidence interval for estimating the unknown mathematical expectation a with a given confidence probability γ=0.95.

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)