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Log-normal distribution
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====Confidence interval for ''e<sup>ฮผ</sup>''==== Using the principle, note that a [[confidence interval]] for <math>\mu</math> is <math>[\widehat\mu \pm q \cdot \widehat\mathop{se}]</math>, where <math>\mathop{se} = \widehat\sigma / \sqrt{n}</math> is the standard error and ''q'' is the 97.5% quantile of a [[Student's t-distribution|t distribution]] with ''n-1'' degrees of freedom. Back-transformation leads to a confidence interval for <math>\mu^* = e^\mu</math> (the median), is: <math display="block">[\widehat\mu^* {}^\times\!\!/ (\operatorname{sem}^*)^q]</math> with <math>\operatorname{sem}^*=(\widehat\sigma^*)^{1/\sqrt{n}}</math>
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