The mean yield from process A is estimated to be 80 ± 5, where the units are percent of a theoretical maximum. The mean yield from process B is estimated to be 90 ± 3. The relative increase obtained from process B is therefore estimated to be (90 − 80)/80 = 0.125. Find the uncertainty in this estimate.

Answer:

Step 1 of 4:

Given, the mean yield from process A is estimated to be

The mean yield from process B is estimated to be

Let the mean yield from process A as X and the mean yield from process B as Y.

The relative increase obtained from process B is given by the formula