5387. x̅=84.22, n=196, σ=14. Find confidence intervals for estimating the expectation a of a normal distribution with a reliability of 0.95, knowing the sample mean x̅=84.22, the sample size (number of observations) n=196, and the standard deviation σ=14.

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