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  1. I have a sack of 1000 sticks.
  2. The length of the sticks are normally distributed.
  3. I randomly take out 5 sticks and measure them to be [40; 30; 60; 20; 30] mm long.
  4. How can I now calculate, with a confidence interval of 99%, the minimum and maximum length of the sixth stick?

I have managed to calculate the population mean standard deviation accurately using t-table but it really doesn't help me here.

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  • $\begingroup$ @AryaMcCarthy Yes, 99% confidence interval, thanks! $\endgroup$
    – warpi
    Apr 9, 2021 at 16:04
  • $\begingroup$ @Arya You don't mean a confidence interval: this is a prediction interval. The two are distinct concepts. $\endgroup$
    – whuber
    Apr 9, 2021 at 17:15
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    $\begingroup$ Oof, thanks for educating me! $\endgroup$ Apr 9, 2021 at 17:31

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