Modified Cox method in calculating confidence intervals for Log-Normal distribution

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As titled, I want to find confidence intervals for something Log-Normally distributed.

I found this paper online that suggests the use of t instead of the usual z (Section 3.4) for better coverage (Modified Cox method) when the number of observations is small. However, I do not understand how the degree of freedom for t is selected. The paper says:

t, with degrees of freedom based on the d.f. for the estimate of (variance).

I'm unable to figure out how the author ended up with a degree of freedom of 5 in his example. Please help.

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