Problem N5606 probability theory confidence interval

Problem N5606 probability theory confidence interval

5606. Six equally accurate measurements of the distances from the gun to the target were made with the same device with a root-mean-square deviation σ=3.5 m. Find the confidence interval for estimating the true distance to the target with reliability γ=0.95 if the average measurement result is x̅v=1800m.

Additional information:

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