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May 20, 2020 at 21:35 vote accept user1330974
May 20, 2020 at 7:00 answer added BruceET timeline score: 2
May 20, 2020 at 2:29 comment added Glen_b That's the population mean, not the sample mean. The first problem looks at the distribution of individual values, the CI in the second relates to the distribution of sample means. Sample means have smaller variance than individual observations do. This will be discussed at length in your textbook or notes.
May 20, 2020 at 1:38 comment added user1330974 @Glen_b-ReinstateMonica Could you please elaborate a bit more? I tried looking through the link from whuber (comment above yours), but none of the top answers have explanation that I'm looking for. If the second problem is about sample means of observation, then what is the first problem about? From my layman's understanding, the first problem also provides us a mean value of observation (5.0 ng/mL), doesn't it?
May 20, 2020 at 1:04 comment added Glen_b @user1330974 The second is about sample means of observations, not the observations themselves. This is a critical distinction, since sample means are less variable than the observations they are based on.
May 19, 2020 at 22:07 comment added whuber Take a look at our highest-voted posts on confidence intervals.
May 19, 2020 at 21:56 history asked user1330974 CC BY-SA 4.0