Confidence interval for geometric mean

As title, is there anything like this? I know how to calculate CI for arithmetic mean, but how about geometric mean? Thanks.

Answer

The geometric mean $(\prod_{i=1}^n X_i)^{1/n}$ is an arithmetic mean after taking logs $1/n \sum_{i=1}^n \log X_i$, so if you do know the CI for the arithmetic mean do the same for the logarithms of your data points and take exponents of the upper and lower bounds.

Attribution
Source : Link , Question Author : lokheart , Answer Author : whuber

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