Timeline for The difference between approaches to find 95% interval in normal distribution
Current License: CC BY-SA 4.0
7 events
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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 |