Problem N5553 probability theory confidence interval

Problem N5553 probability theory confidence interval

5553. x̅=5.4, n=10, σ=2, γ=0.95. Given the standard deviation σ=2, the sample mean x̅в=5.4 and the sample size n=10 of a normally distributed feature of the general population. Find confidence intervals for estimating the mathematical expectation of the general population with a given reliability γ=0.95.

Additional information:

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