Why am I getting 84.25. I am doing 97.96*(6/sqrt[50-1]) = 97.96*(6/7) I am obviously not doing this correctly please help. It has been sometime since I have done any math.
2026-03-27 04:23:35.1774585415
Why am I getting 84.25 instead of 97.68 for my Confidence Interval?
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You are doing $$\left(96+1.96\right) \left(\dfrac{6}{\sqrt{50-1}}\right)$$ when you should be doing $$96+\left(1.96 \left(\dfrac{6}{\sqrt{50-1}}\right)\right).$$
As separate points: $97.68$ is roughly the $0.975$ quantile not the $0.95$ quantile; a confidence interval should have a lower value too, so the $95\%$ confidence interval should be $[94.32,97.68]$