Small sample size confidence intervals | Probability and Statistics | Khan Academy

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  • Опубліковано 17 січ 2025

КОМЕНТАРІ • 50

  • @kevinfarrell9304
    @kevinfarrell9304 8 років тому +29

    good explanation, i still hate this though

  • @theduke9292
    @theduke9292 Рік тому +3

    please, please, work through the steps, i struggled to keep along as this was structured like it assumed we knew what was going on like that section with standard deviation I immediately got lost

    • @emarcello2005
      @emarcello2005 6 місяців тому +2

      You gotta watch the previous videos. If he explained every bit, each stats video would go on for 40 minutes.

  • @mayanmaster92
    @mayanmaster92 4 роки тому +7

    "I did this ahead of time." But that is the information I need to know :(

  • @Aryan91191
    @Aryan91191 10 років тому +2

    Excellent explanation, thank you.

  • @WSCOMPUTER
    @WSCOMPUTER 14 років тому

    Sal, great movie! Please make a (short) movie on William Gosset and his nick Student. When I was a student I thought that t-Student comes from a student untill I found the story on wikipedia.
    Sal - I took some courses on statistics, but no one ever derived the normal distribution or any other distribution. So my question is if you plan to make movies how to derive probability density functions like Gaussian, gamma, and so on?
    Sal, your Academy is the best academy on our planet!

  • @gungs001
    @gungs001 13 років тому

    @TheBrotherStatic couldnt agree with you more.. final is next week! may god help us all!

  • @Artus506
    @Artus506 12 років тому +6

    So you say...(1.5-2.34)^2 + (2.9-2.34)^2+ (.9-2.34)^2+(3.9-2.34)^2+(3.2-2.34)^2+(2.1-2.34)^2+(1.9-2.34)^2 and divide all of that by n-1=6. This will give you the variance...and then just take the square root to get the standard deviation.

    • @B.Nicolee
      @B.Nicolee 4 роки тому

      jesus Christ thank u

  • @Bapewatch01
    @Bapewatch01 13 років тому +6

    how do u find the "square difference from each of these points" i was lost after that, >"

    • @emmanuelrodriguez1693
      @emmanuelrodriguez1693 5 років тому +2

      go see his video on standard deviation and variance. he explains it more in depth

  • @norwayte
    @norwayte 14 років тому

    Redone and better. Keep on going.

  • @shreyachawla988
    @shreyachawla988 4 роки тому

    @6:32 you made it clear that it is the sampling distribution of sample means (and not simply the sample distribution), then how come is the sample mean at the centre? Isn't the population mean at the centre of sampling distribution of sample mean? Please Clarify, TIA

    • @yuzhe6054
      @yuzhe6054 4 роки тому

      He uses the sample mean to estimate the population mean. That's the best we can do. Then, using that polulation mean, we compute the confidence interval where we have 95% possibility that the actual population mean is within that confidence interval around the estimated mean.

    • @shreyachawla988
      @shreyachawla988 4 роки тому

      @@yuzhe6054 but the central value in a sampling distribution of means is always the population mean. I mean shouldn't the confidence interval be constructed around some other point on the graph, say to the right of the centre where our sample mean is located

    • @yuzhe6054
      @yuzhe6054 4 роки тому

      @@shreyachawla988 Yea, there are chances that the sample mean is not close to the actual population mean. But that's the best we can get. If we want to skewed the centre of the sampling distribution, we won't know which way to skewed the mean, left or right, solely based on the sample we get. To play it safe, we just estimate the population mean with the sample mean and construct the confidence interval around that centre.

    • @shreyachawla988
      @shreyachawla988 4 роки тому

      @@yuzhe6054 so the normal graph where you are taking sample mean at the centre is the sampling distribution of mean or the sample distribution?

    • @yuzhe6054
      @yuzhe6054 4 роки тому +1

      @@shreyachawla988 It's the sampling distribution of the sample mean.

  • @JCResDoc94
    @JCResDoc94 6 років тому

    2:20 est SD w/n

  • @bartoszwieciech8520
    @bartoszwieciech8520 2 роки тому

    Interesting that this has a distinct name. We could just assume nothing about the initial distribution and proceed with the central limit theorem as usual :)

  • @thesixthsense1
    @thesixthsense1 13 років тому

    Great as always..

  • @neelesh.vishwakarma
    @neelesh.vishwakarma 6 років тому +1

    I am taking chyawanprash twice a day, everyday, to understand statistics..

  • @murtizaali3478
    @murtizaali3478 6 років тому

    Plz. Make a vedio on "sufficiency or sufficient estimator".

  • @kefyalewf
    @kefyalewf 4 роки тому

    can you apply this method to proportions rather than means?

  • @cassandracartwright6896
    @cassandracartwright6896 8 років тому

    Does anyone have a link to this T table? I can't find one like this and i really enjoy how it looks

  • @hitopachy
    @hitopachy 13 років тому +1

    I thougth the t value gave the area not number of deviations from the mean.?

  • @songliu1304
    @songliu1304 3 роки тому

    You can calculate the standard deviation of the samples by using the given numbers and mean. In other words, it is S. Why do we have to estimate the standard deviation of population as S, but then calculate the sample standard deviation as S/sqrt(n) ? why not the other way ?

  • @ahadshahid
    @ahadshahid 13 років тому

    @smallbighorn Hi, If you take the square root of 1.08..you get 1.04

  • @250blitz
    @250blitz 13 років тому +1

    I worship you

  • @fierycarnisphere1166
    @fierycarnisphere1166 10 років тому +4

    Tea tables. I'm thirsty now.

  • @tamilarankin7215
    @tamilarankin7215 7 років тому +2

    I just want to say, "Whoever created statistics is pure evil!" I have to take headache medications after watching tutorials and trying to figure out the problems still long after the video has ended, sigh..

    • @rudzambilu7522
      @rudzambilu7522 6 років тому

      Kiiikikikikikiiii.
      You killed me lol.
      I feel the same way, I still dont understand. Sigh toooo

  • @ColdTakesForDays
    @ColdTakesForDays 4 роки тому +2

    I need to know how you calculated standard deviation because I tried and did not get the same number. Need to quit assuming that people already know how to do part of the problem.

    • @blixh3ad
      @blixh3ad 9 місяців тому +1

      Old comment, but for those seeing it now, Khan Academy takes things step by step, and if they showed you how to do every calculation like standard deviation and mean in every video then the videos would be too long. They did previous videos on stdev and mean which you can go back and watch if you don't understand.

  • @ScarletSky03
    @ScarletSky03 4 роки тому +1

    I still don't get it.

  • @PurePipRaptor
    @PurePipRaptor 11 років тому

    What if you don't have a t table and it's asking what the 95% interval is? You go as far as you can and the answer is 0.39?

  • @sharangkulkarni1759
    @sharangkulkarni1759 Рік тому

    Ok my existence is the average of random processes

  • @reedelliott777
    @reedelliott777 4 роки тому

    Why did he use a t-able vs a z table?

  • @smallbighorn
    @smallbighorn 13 років тому

    I got 1.0862 for the sample standard deviation. How did you get 1.04?

    • @ketanshetye5029
      @ketanshetye5029 4 роки тому

      Just take sqrt of it , u have found the variance .

    • @azwell45
      @azwell45 3 роки тому +1

      if you still need the explanation after 10 years, i can explain it lol

  • @panagiotisgoulas8539
    @panagiotisgoulas8539 11 років тому

    I am still trying to figure out why the initial distribution is normal

  • @m.t.j9786
    @m.t.j9786 5 років тому +1

    DONT SKIP STEPS WHY YOU GOTTA BE LIKE THAT

  • @potatofarmer2099
    @potatofarmer2099 7 років тому

    What's the probability that the instructor is going to ramble on, repeat himself multiple times as he writes, and regularly use the wrong words throughout the video?

  • @AshtonLevian
    @AshtonLevian 2 роки тому

    2.34 is not the sample mean and 1.04 is not the sample SD

  • @pratikshethcool
    @pratikshethcool 8 років тому +7

    This guy speaks so slow i have to speed it up 1.5 times to match normal tempo rate..