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23 Nov 2019
After measuring the speed of sound u several times, a student concludes that the standard deviation s_u of her measurements is s_u = 10 m/s. If all uncertainties were truly random, she could get any desired precision by making enough measurements and averaging- (a) How many measurements are needed to give a final uncertainty of ±3 m/s? (b) How many for a final uncertainty of only ±0.5 m/s?
After measuring the speed of sound u several times, a student concludes that the standard deviation s_u of her measurements is s_u = 10 m/s. If all uncertainties were truly random, she could get any desired precision by making enough measurements and averaging- (a) How many measurements are needed to give a final uncertainty of ±3 m/s? (b) How many for a final uncertainty of only ±0.5 m/s?
