Confidence Interval for a population mean - t distribution

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  • Опубліковано 17 січ 2025

КОМЕНТАРІ • 98

  • @alejandromosqueda724
    @alejandromosqueda724 2 місяці тому +1

    Your videos broke so many topics down for me to where I could easily understand! Saved me so much time on my homework. Thank you!

    • @joshemman
      @joshemman  2 місяці тому

      Thank you so much @alejandromosqueda724 for your kind gesture. Much appreciated.

  • @bobu5213
    @bobu5213 Рік тому +30

    I don't understand why other videos on youtube don't explain every term they use even when they are labeled as "beginner" or "non-technical". You are a great teacher and I want to thank you for giving me such a clear understanding of this in barely 7 minutes.

    • @joshemman
      @joshemman  Рік тому +7

      My pleasure, @BoBu. Thanks for dropping a note,.

  • @jackhouston1917
    @jackhouston1917 2 місяці тому +4

    Legend. Only video I've found that explains confidence intervals involving t-distributions and does it even better than my lecturers!!

    • @joshemman
      @joshemman  2 місяці тому

      Glad you found it helpful! 🙏

    • @jackhouston1917
      @jackhouston1917 2 місяці тому

      @@joshemman Very much so i think i owe passing my exam to you sir

  • @Petit-crochets
    @Petit-crochets 2 роки тому +6

    I have a statistics paper this monday
    I couldn’t understand wat my lecturer had taught at all but thank God I got this channel…hoping to get it right in the paper thanks so muvh

    • @joshemman
      @joshemman  2 роки тому +4

      All the best on your paper, Rhoda.

  • @ATR2400-2
    @ATR2400-2 Рік тому +3

    it seems so simple retrospect. I don't know how I had so much trouble with it. Thanks for the help!

  • @IgnatiusSathasivam
    @IgnatiusSathasivam Рік тому +5

    The excel formulas you suggested in both videos are priceless.

  • @akhileshbajpai765
    @akhileshbajpai765 2 роки тому +4

    Soothing voice with, to the point conceptualization makes life easy.
    Thank you so much

  • @robcantrell
    @robcantrell 2 роки тому +4

    Thank you, this is a clear explanation of the topic. Very helpful and great job!

  • @afrolitious7930
    @afrolitious7930 2 роки тому +14

    Thank you so much. My lecturers cannot explain anything.

  • @uzmataskeen7025
    @uzmataskeen7025 Рік тому +1

    best stats yt channel fr

  • @triptee3449
    @triptee3449 8 місяців тому +1

    Thank you so much, this video cleared up all confusion i had regarding this topic. You are an excellent teacher!! Keep it up.

  • @shubhamshah5155
    @shubhamshah5155 2 роки тому +3

    you are awesome buddy
    thanks for the videos
    i cant understand a thing my professor teaches!

  • @inhdung4521
    @inhdung4521 Рік тому +6

    Where the heck have you been in my life? I literally will have the final test 6 days left, and you showed up just in time and taught me more than anything my lecturer tried to say in 15 weeks :<
    Sometimes, I hate the wrong timing in the right situation like this. 😕

    • @uzmataskeen7025
      @uzmataskeen7025 Рік тому

      me too man me too

    • @uzmataskeen7025
      @uzmataskeen7025 Рік тому

      i scored 8 marks in a 35 marks test lmfao i really was sucking at stats until i found this channel

  • @hytee7159
    @hytee7159 Рік тому

    Thank you very much! I have an exam tomorrow and your videos are so easy to understand. Great teacher!

  • @jemshussdsbc4775
    @jemshussdsbc4775 Рік тому +1

    Realy you are the great lecturer thanks alot.

  • @alial-qasim2453
    @alial-qasim2453 Рік тому +1

    Thank you so much you are a savior 🙏🏻

  • @agusnoviana
    @agusnoviana 8 місяців тому +1

    this channel i give me best tutorial for understanding statistic... thank a lot.. GBU

  • @asamoah-danquahstanislaw2002
    @asamoah-danquahstanislaw2002 Рік тому +2

    You literally saved me.
    Thanks man 🙃

  • @Mma_JC
    @Mma_JC Рік тому +2

    Wonderful... thanks a lot. I totally understand it now😊

  • @rasikarajapaksha40
    @rasikarajapaksha40 8 місяців тому +1

    Thanks a lot ❤

  • @priyambadapreeti1621
    @priyambadapreeti1621 Рік тому +1

    You are great sir ❤❤❤

  • @Alihaidari911
    @Alihaidari911 6 місяців тому

    soo amazingly perfect way of teaching

  • @sameeianaz1223
    @sameeianaz1223 2 роки тому +3

    Wish I had a teacher like this in uni

  • @chinyerechima2728
    @chinyerechima2728 Рік тому +1

    awesome. excellent clarity

  • @davianoinglesias5030
    @davianoinglesias5030 Рік тому

    😅you are saving lives out here

  • @gentesipam3895
    @gentesipam3895 11 місяців тому

    Thanks, can you shade more light on the aspect of t-distribution verse F-distribution while tagging +-30 sample mean.

  • @NkopodiNkadimeng-cp1xn
    @NkopodiNkadimeng-cp1xn 2 місяці тому +1

    Why are we still using the t table on the second example if the n is greater than 30 and the standard deviation is known ? ...
    Thank you, sir you made using the t table easy and understandable

    • @joshemman
      @joshemman  2 місяці тому

      Some courses use Z when n > 30, but not everyone does. Some use t whenever σ is unknown irrespective of the size of n.

  • @ali_hussain8772
    @ali_hussain8772 7 місяців тому

    Great sir...
    Its very helpful
    We got it easily❤

    • @joshemman
      @joshemman  7 місяців тому

      Great 👍 Thanks.

  • @kirmada-t8q
    @kirmada-t8q Місяць тому +1

    so so good

  • @السيوايكيكي-ت3ص
    @السيوايكيكي-ت3ص 2 роки тому +5

    This is what l’m looking for , thank you very much ♥️

    • @joshemman
      @joshemman  2 роки тому +1

      You’re welcome 😊

  • @Alihaidari911
    @Alihaidari911 6 місяців тому +1

    thank you so much

  • @zaidal-qadhi826
    @zaidal-qadhi826 2 місяці тому

    Thank you very much for these amazing videos. I also have a related question to this material. let's say I have the following test observations for life spans of a machine (292,773 - 236,499 - 189,796 - 209,782), what is value ( which ensures that there is a 95% possibility of survival (reliability)) with 95% confidence? and how to calculate it? Again thank you very much in advance.

  • @salomluvinga8850
    @salomluvinga8850 2 роки тому

    Thank you so much again, sir

  • @Kanikachauhan3
    @Kanikachauhan3 8 місяців тому +1

    Thank you so much sir
    It's really helpful

  • @sabrinasaad8381
    @sabrinasaad8381 2 роки тому +2

    life made easy!!

  • @veerakanneboina8086
    @veerakanneboina8086 Рік тому

    But we got two critical vakues one is positive and one is negative, but why only considered positive.

  • @studypurpose7804
    @studypurpose7804 10 місяців тому

    WOw, Thank you.

  • @hestiluhsuprobowati8143
    @hestiluhsuprobowati8143 2 роки тому +1

    So, regardless sample size, in the event only sample mean is known(and sd sample) we use t-table all the way?

    • @joshemman
      @joshemman  2 роки тому +4

      You have to check with your course. Some people use Z whenever the sample is large.

    • @laulau4367
      @laulau4367 Рік тому +1

      His question was my question too. So for the second example you used, if someone used the z-table since the sample size was large, he should get the same answer as you received for that problem?@@joshemman

    • @joshemman
      @joshemman  Рік тому +1

      @@laulau4367 For large sample, the answer will be close for both t and z but not exactly the same. Some courses use z for large samples and some don't.

    • @laulau4367
      @laulau4367 Рік тому

      Thank you!@@joshemman

  • @ChristabelObum
    @ChristabelObum Рік тому

    Hii, so when do we use the t distribution and when do we use the z distribution??

    • @joshemman
      @joshemman  Рік тому

      I will suggest you follow what your course/textbook says.
      Some use Z when σ is known. Others use Z whenever n ≥ 30.
      Some use t when σ is unknown. Others use t whenever n < 30.

  • @spark-to-a-flame8227
    @spark-to-a-flame8227 Рік тому

    Thank you!

  • @trumpiden1098
    @trumpiden1098 2 роки тому +1

    how i ll understand that i ll use t table or z table :?

    • @joshemman
      @joshemman  2 роки тому

      Some say use Z when n ≥ 30 and some say use Z when σ is known.
      I will suggest you check your notes, textbook, or with your prof to determine which approach applies in your course.

    • @trumpiden1098
      @trumpiden1098 2 роки тому

      @@joshemman what does this sigma mean in our notes this is written which you wrote that sigma but I don't know what is it can your explain me? Thank you.

    • @joshemman
      @joshemman  2 роки тому

      @@trumpiden1098 Sigma is the population standard deviation. s is used to represent the sample standard deviation.

    • @trumpiden1098
      @trumpiden1098 2 роки тому

      @@joshemman yeah but in questions how will I understand which one is it

    • @joshemman
      @joshemman  2 роки тому +1

      @@trumpiden1098 If it does not say "population SD", then it is very llikely "sample SD".

  • @JuyamaeMontelibano
    @JuyamaeMontelibano 2 місяці тому

    what if the standard deviation is unknown?

    • @joshemman
      @joshemman  2 місяці тому

      If the population standard deviation is unknown (sample SD is known), use the approach here.
      If both the sample SD and population SD are unknown, you can’t construct a confidence interval unless you have the standard error or the margin of interval.

  • @sobahlemaseko9189
    @sobahlemaseko9189 Рік тому

    Sir im still confused on when to use z ort score

    • @joshemman
      @joshemman  Рік тому

      You probably haven't watched enough videos. Keep learning. You'll figure it out.

  • @gentesipam3895
    @gentesipam3895 11 місяців тому

    I think, instead of trial and error, use a lower confidence level (

  • @akullupatriciaopido8268
    @akullupatriciaopido8268 Рік тому

    Great

  • @anshelphiri1725
    @anshelphiri1725 Місяць тому

    Why have you used t distribution because n is 85 which is greater than 30 i thought it was suppose to be the z distribution

    • @joshemman
      @joshemman  Місяць тому

      In some courses, they use Z because sigma is know. In other courses, they use Z because n is greater than 30. I'm assuming yours is the second case.

  • @zunudahal2594
    @zunudahal2594 Рік тому

    For t distribution the number should be lesss than 30 than in your last question n=85 how t distribution is applied... Plz explain i didn't get that

    • @joshemman
      @joshemman  Рік тому +1

      Yes, most people use t when n is less than 30. However, you can use it for any sample size.

  • @olamidesubair4953
    @olamidesubair4953 6 місяців тому

    When n is greater than 30 ain’t you supposed to use z table???

    • @joshemman
      @joshemman  6 місяців тому

      Some texts use Z when n > 30, and some don't. If your course says use Z, then do it.

  • @JAG_158
    @JAG_158 7 місяців тому

    Explain Why it is a TWO TAIL (0.025) and not One Tail (0.05). Much appreciated

    • @joshemman
      @joshemman  7 місяців тому

      By default a 95% confidence level is located in the middle of the distribution, leaving 0.05 area which is divided equally (.025) into the two tails.

    • @JAG_158
      @JAG_158 7 місяців тому

      @@joshemmanif i could rephrase, there are a few questions i’ve seen where one tail (a) is used instead of (a/2) such as a below or above average comparison. Could you explain when that is used?

    • @joshemman
      @joshemman  7 місяців тому

      @@JAG_158 See if this helps: ua-cam.com/video/Iv1RQnjV-1U/v-deo.html

  • @anurajms
    @anurajms Рік тому

    ty

  • @ChifundoMandondo
    @ChifundoMandondo Рік тому

    The margin of error is supposed to be 0.90369 multiply by 2.2140405

    • @joshemman
      @joshemman  Рік тому

      Where did you get 2.2140405 from?

    • @ie95_Moh
      @ie95_Moh Рік тому

      If n> 30 then we use Z not t test !!

    • @exemplarypersonality6562
      @exemplarypersonality6562 10 місяців тому

      ​@@joshemmanis it true that we should use the Z distribution when n is larger than 30? I noticed you use t distribution on both cases

    • @joshemman
      @joshemman  10 місяців тому

      ​@@exemplarypersonality6562 Some books use Z when n ≥ 30 but some use Z only when population standard deviation is known. I will suggest you follow how it is taught in your course.

  • @ChifundoMandondo
    @ChifundoMandondo Рік тому

    I have found a different margin of error different from yours

  • @ShexMhamad111
    @ShexMhamad111 Рік тому

    Ok

  • @MariamaVandijusu
    @MariamaVandijusu 3 місяці тому

    Teach me please