5730. x̅=30.1, n=9, s=6 According to nine independent equal-precision measurements of a certain physical quantity, the arithmetic mean of the measurement results x̅в=30.1 and the "corrected" standard deviation s=6 are found. Estimate the true value of the measured quantity using a confidence interval with a reliability of γ=0.99. It is assumed that the measurement results are normally distributed.

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