5394. x̅=84.29, n=49, σ=7. Find confidence intervals for estimating the expectation a of a normal distribution with a reliability of 0.95, knowing the sample mean x̅=84.29, the sample size (number of observations) n=49, and the standard deviation σ=7.

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