5629. The machine stamps parts. The length of a part that is normally distributed is controlled. Based on a sample of volume n=100, the average length of the part xv=50 mm was calculated. Estimate with a reliability of 0.97 the mathematical expectation a of the length of the part using the confidence interval, if the general standard deviation σ=5 mm is known.

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