Shrinking the standard error

EasyStatistics~3m

A single measurement has standard deviation 2020. You currently average 44 independent measurements. How many additional measurements must you take so that the standard error of the average is halved?

Show hints (2)+
  1. Current SE =20/4=10=20/\sqrt4=10; you want it to reach 55.
  2. Solve 20/n=520/\sqrt n=5 for nn, then subtract the 44 you already have.

Answer

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12

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