The resistance, R, of a resistor was determined by two different methods, A and B. For...
The resistance, R, of a resistor was determined by two different methods, A and B. For each method, the measurements were repeated 10 times. The results gave the following values for the mean and the standard error of the mean: method A, RA = (95 ± 8) Ω, method B, RB = (103 ± 2) Ω. It is clear that method B is more precise. How many more measurements are required for method A to be as precise as method B?
Homework Answers
Standard error of the mean for method A, SA = 8
Standard error of the mean for method B, SB = 2
Thus, SA = 4SB
Standard error of the mean is inversely proportional to square root number of measurement (or sample size)
Thus, there should be total of 
= 160
measurements
As measurements were already repeated 10 times, 150 more measurements are required for method A to be as precise as method B
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