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Jun 7, 2023 at 19:44 comment added Henry Yes - the first comment is still valid. Your $T_1$ will be about $\frac{\mu}{\sigma}\sqrt{n}$ which will not be bounded as $n$ increases
Jun 7, 2023 at 19:28 comment added Jaimin Shah Hi @Henry, thank you for your comment. I made a mistake in posting a question. I corrected it. Is your 1st comment still valid? If yes could you elaborate a little, how ?
Jun 7, 2023 at 19:18 history edited Jaimin Shah CC BY-SA 4.0
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Jun 7, 2023 at 14:10 comment added Henry If $E[X_i]=\mu \not=0$, I would have thought your $T_1$ was likely to diverge as $n$ increases
Jun 7, 2023 at 13:41 history asked Jaimin Shah CC BY-SA 4.0