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Henry
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You can do this, and it should give you a better estimator (lower expected mean square error) than just taking the $95\%$ quantile of your data if your sample size were large enough to allow this. Simulate it and see, and in particular note how much uncertainty there is with small to medium sized samples. Whether it is the best estimator is a different question: for very small $n$, I suspect $\overline{x} +\sqrt{\frac{n^2-1}{n^2}} t_{0.95}(n)\cdot s$ may be better and there may be others which are better still.

Henry
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