These are given conditions. n(=the number of observations) = 60 . Sample mean is 2.1 Then I want to calculate 95% Confidence Interval of lamda, which is a mean of Poisson distribution. I Know that Central limit Theorem must be used. But I want to solve this question conveniently by using R. Is there a method to make my feeling cool?
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Does this answer your question? [How to calculate a confidence level for a Poisson distribution?](https://stats.stackexchange.com/questions/15371/how-to-calculate-a-confidence-level-for-a-poisson-distribution). There are many ways to do this beyond the central limit approximation; several are implemented in the `pois.conf.int()` function of the R [epitools package](https://cran.r-project.org/package=epitools) – EdM Apr 14 '21 at 12:59