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Mar 21 at 21:03 comment added Dave @Apro9991 I think it’s ridiculous and that the problem isn’t very good in general (not your fault), but your teacher seems to take the stance that the standard deviation is known to be $1.2$. When the standard deviation is known, a z-test is appropriate over a t-test. The typical progression in a course is to learn the z-test for means and then say, “…but we typically have to estimate the standard deviation,” and then get into the t-test.
Mar 21 at 20:24 comment added Apro9991 We don't use software; instead, we have to calculate it manually using a table. On average, there are 12.7 sick days per year with a standard deviation of 1.2 days. Additionally, we're working with a sample size of n = 2. Could you please explain in more detail why a t-test shouldn't be used here? I'm still having trouble understanding it.
Mar 21 at 20:13 history answered Dave CC BY-SA 4.0