Confidence Intervals about the Mean, Population Standard Deviation Unknown

Поділитися
Вставка
  • Опубліковано 19 сер 2024
  • statisticslectures.com - where you can find free lectures, videos, and exercises, as well as get your questions answered on our forums!

КОМЕНТАРІ • 64

  • @danielles102
    @danielles102 9 років тому +25

    I spent hours trying to figure this out from an unhelpful textbook and online course material and you made it so easy! Thank you!!!

  • @joshua7529
    @joshua7529 5 років тому +5

    It is, quite frankly, embarrassing that you can explain this better than my professor who requires an hour to explain the same subject and yet still fails to get across the point. They get paid to do their job and they can't even do it properly. Many thanks for the assistance.

  • @tangeniimmanuel2987
    @tangeniimmanuel2987 10 місяців тому +3

    FOr those of you confused, we are using the t distribution BECAUSE the sample n is less than 30, the standard deviation is 80 and is actually in the video...In other words, it is known

    • @user-he1xf7wx6d
      @user-he1xf7wx6d 4 місяці тому

      i see. thank you fo6the clarification. i was confused the standard deviation in this note with the previous notes.

  • @nickhilgen6197
    @nickhilgen6197 8 років тому +21

    Thanks man, still helping people 5 years in the future!

  • @Shadoweditz108
    @Shadoweditz108 3 роки тому

    10 years later and you saved my life , I appreciate this vidoe

  • @Schemingdemon
    @Schemingdemon 11 років тому +12

    It made sense...? IT MADE SENSE!

  • @thegoonist
    @thegoonist 9 років тому

    this is the go-to explanation on this topic. seen a bunch of other vids and they werent as clear and concise.

  • @RolSBW
    @RolSBW 13 років тому +1

    Thank you for your contribution ! It is clear. I will apply it right now to my experimental data to get the CI.

  • @MikeyAug82
    @MikeyAug82 11 років тому

    Thanx dude...my teacher isn't unable to teach it so simple!

  • @ashraafasri4864
    @ashraafasri4864 7 років тому +1

    tmrw i got this statistic exam and now i just found the video?! anyway thanks for a great explainantion mr.statistic. :)

  • @giftnyoni6223
    @giftnyoni6223 7 років тому +9

    THANKS MAN HOW ABOUT IF THE VARIANCE AND STANDARD DEVIATION IS NOT GIVEN BUT YOU ARE ONLY GIVEN SAMPLE DATA

  • @PurePhantom
    @PurePhantom 11 років тому +2

    [t_(n-1)] uses the Degrees of Freedom, whereas the [t_a/2] uses the probability. Other than using different values, there probably isn't any difference between the two as you need both values to find the t-value on the t distribution table. The use of either one probably just depends on how you were taught stats (ie. whichever one your teacher uses)

  • @bungiiee4752
    @bungiiee4752 5 років тому

    9 years and Still helping

  • @idkman5736
    @idkman5736 10 років тому

    Best video I've seen on the subject

  • @tmb06
    @tmb06 3 роки тому +4

    Population standard deviation was 80. Said so right from the beginning. How do you find it if that value is unknown?

    • @oumarjaffar4605
      @oumarjaffar4605 2 роки тому +1

      80 is the sample's standard deviation and not the population's. If the population's standard deviation is known, then the formula for the confidence interval is similar to the one shown in the video except that "t alpha/2" is replaced by "z alpha/2"

  • @toshijannaminronquillo5177
    @toshijannaminronquillo5177 6 років тому +1

    happy birthday Dr.E

  • @dreibelt
    @dreibelt 10 років тому +1

    Thank you. That was a great explanation.

  • @zoeyoneohone
    @zoeyoneohone 4 роки тому +2

    I'm sorry I'm confused. I do not understand how the title pertains to this video. You advertised that this was to be used when the standard deviation is unknown yet in the example you gave the standard deviation was given (80)?

    • @lokesh542
      @lokesh542 4 роки тому

      This is when we don't know population standard deviation but 80 is sample standard deviation and denoted by s

    • @princessp4109
      @princessp4109 3 роки тому

      Very misleading

  • @JohnWilson-ep9cm
    @JohnWilson-ep9cm 9 місяців тому

    It's supposed to be 2.064 for 24 degrees of freedom and 0.025

  • @shuwukong
    @shuwukong 11 років тому +2

    population standard deviation, sigma, is unknown
    80 refers to the sample standard deviation,s

  • @YeahsCee
    @YeahsCee 11 років тому

    This video is old but thank you so much for explaining this! I really appreciate it. :) Explanations and examples can be difficult to follow through just text. Have a good day. xx

  • @midhurammanoj931
    @midhurammanoj931 2 роки тому

    Thank you so much!

  • @Rex944
    @Rex944 10 років тому +2

    Thanks man this really helps!

  • @avika-ci2tb
    @avika-ci2tb 8 місяців тому

    I think the value of t would be 1.96 in case. Of 95% confidence interval

  • @JaxFloridaLocal
    @JaxFloridaLocal 11 років тому

    Amazing explanation!!!!!! Great Job. Thumbs Up!

  • @ThetruthQ12
    @ThetruthQ12 3 роки тому

    thank you so much sir. really helped

  • @sandilehlabangane1021
    @sandilehlabangane1021 9 років тому

    Thank you very much this video helped me a lot

  • @JohnWilson-ep9cm
    @JohnWilson-ep9cm 9 місяців тому

    The t- value is 2.064

  • @gollaprakash7780
    @gollaprakash7780 7 років тому

    superb sir...please send link introduction of chi-square test and when it is used....differnces between t-test, f-test and chi-square....waiting for video....

  • @rickymoves
    @rickymoves 12 років тому

    Thanks--great video.

  • @havanaaa
    @havanaaa 11 років тому +1

    so to do confidence interval when the standard deviation is unknown,I'll need a distribution table?

  • @glazedstuff
    @glazedstuff 11 років тому +2

    cool video, but your title is misleading. I was expecting an example where the standard deviation is unknown...however in your example the standard deviation is already given; 80.

    • @melissamorgan8469
      @melissamorgan8469 7 років тому

      Doug Salinas

    • @benharratbouattou1687
      @benharratbouattou1687 6 років тому +1

      population standard deviation is unknown however 80 is the one of sample standard deviation

    • @lokesh542
      @lokesh542 4 роки тому

      It is for sample Standard Deviation

  • @Cyfkycdrycvkb
    @Cyfkycdrycvkb 14 років тому

    thank you help a lot!

  • @lukeallan6486
    @lukeallan6486 6 років тому +2

    but standard deviation 80 is given though

    • @allaamrauf8214
      @allaamrauf8214 5 років тому +2

      That's just assuming we have the sample standard deviation rather than the population one

    • @icedcoffeea6905
      @icedcoffeea6905 5 років тому +6

      @@allaamrauf8214 this comment saved my life i would like you to know that

    • @lokesh542
      @lokesh542 4 роки тому

      This is for same Standard Deviation that is why it is denoted by s

  • @MoldySketch
    @MoldySketch 12 років тому

    thanks u very much!!!

  • @tightpantsJONAS
    @tightpantsJONAS 9 років тому

    THANK YOUUU

  • @Ambreen2109
    @Ambreen2109 11 років тому

    Hello.
    The question goes as follows:
    On the basis of results obtained from a random sample of 100 flights for a company the 95% confidence interval for the mean number of unoccupied seats is given by [12.2; 13.1]. Find sample mean and sample standard deviation.
    I've come up with the following equation, i know upto here it is right but i don't know how to solve it now.
    x±1.96 s/ sqr100=12.2, 13.1
    Please i'll be grateful if someone can help me ASAP !

    • @sudarshanachakra3.022
      @sudarshanachakra3.022 9 місяців тому

      Sorry , 10 years late . Sample mean is the mid point of confidence interval = (12.2+13.1)/2 = 12.65
      Margin of Error = Z . SD/sqr (n) . Margin of error = difference of Confidence Interval = 0.9
      Therefore , 0.9= Z .SD / 10 .
      Z = 1.96 ( for 95% CI)
      Solving for SD we get 4.59

  • @brentwood321
    @brentwood321 11 років тому

    Thank you so much! BTW, i think there is a small error in your notes on your website, cos you write that you need the marin of error is determined by several factors such as 2. population standard deviation, but then in your video you say its the sample s.d.

  • @plantastica4622
    @plantastica4622 11 років тому

    Great video. So if the sample size was higher than 25 would we go to the z score table instead?

  • @yukinagato5448
    @yukinagato5448 12 років тому

    insted of [t_a/2] my book use [t_(n-1)]
    What is the diference, why is that?

  • @arlsffa
    @arlsffa 9 років тому

    why in my table is 1,711 and not 2,0639 ?

    • @arlsffa
      @arlsffa 9 років тому

      also, my teacher gave us the formula where includes t(1-alfa/2) and not alfa/2 ... :S

  • @kananmammadov267
    @kananmammadov267 2 роки тому

    sorry are you sure about t value you have got? i mean 2.0639

  • @farihahasan910
    @farihahasan910 7 років тому

    how did you find t=2.0639?