Problem 3E

The length of a rod is to be measured by a process whose uncertainty is 3 mm. Several independent measurements will be taken, and the average of these measurements will be used to estimate the length of the rod. How many measurements must be made so that the uncertainty in the average will be 1 mm?

Answer :

Step 1 of 2 :

Given,

The uncertainty of the length of the road is 3 mm and several independent measurements are taken, to estimate the length of the rod the average of independent measurements will be used.

The uncertainty in the average is 1 mm.

The claim is to find how many measurements must be made so that the uncertainty in the average will be 1 mm.