Matched or Paired Samples T-Test - Hypothesis Testing

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  • เผยแพร่เมื่อ 21 ธ.ค. 2024

ความคิดเห็น • 177

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  ปีที่แล้ว +2

    Next Video: th-cam.com/video/HKDqlYSLt68/w-d-xo.html
    Final Exams and Video Playlists: www.video-tutor.net/

    • @shuvashishsharma1299
      @shuvashishsharma1299 ปีที่แล้ว

      @TheOrganicChemistryTutor shouldn’t we use t(alpha/2) to find critical value for C.I?

    • @riky2107
      @riky2107 5 หลายเดือนก่อน

      for confidence interval shouldn't we use the two-tail t-score, in this case "2.26" 9df?

    • @riky2107
      @riky2107 5 หลายเดือนก่อน

      @@shuvashishsharma1299 I was thinking the same

    • @RawanAhmed-n9t
      @RawanAhmed-n9t 3 หลายเดือนก่อน

      ​@@riky2107 should we use (9 and .025) or (9, 0.05), i get confused which value is correct, do we use alaph or alpha/2 in one_tailed test

  • @maryamalhamdan1510
    @maryamalhamdan1510 3 ปีที่แล้ว +161

    The organic chem tutor honestly deserves a Nobel prize for his endless number of lessons ... this society needs to appreciate teachers more than artists and entertainers

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      @enruiwang1537 2 ปีที่แล้ว

      彳亍

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      @alexb1312 2 ปีที่แล้ว

      ur making teaching out to be way harder than it actually is

    • @maryamalhamdan1510
      @maryamalhamdan1510 2 ปีที่แล้ว

      @@alexb1312 well bad math teachers have caused generation hate math for ever

    • @ali_engin33r
      @ali_engin33r 11 หลายเดือนก่อน

      he may not have a nobel but having millions sure helps too

  • @tomatrix7525
    @tomatrix7525 4 ปีที่แล้ว +290

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      @liamstevenson5350 3 ปีที่แล้ว +3

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    • @trevormasuku9606
      @trevormasuku9606 3 ปีที่แล้ว

      Thank you so much.You are talented .a good teacher.Its Annie in Zimbabwe.most lectures are failing

    • @sabrinasaad8381
      @sabrinasaad8381 2 ปีที่แล้ว +1

      He is your saviour haha

    • @AbhishekVerma-kj9hd
      @AbhishekVerma-kj9hd ปีที่แล้ว

      Very nice explanation sir love from India

    • @tashinesempire6129
      @tashinesempire6129 ปีที่แล้ว

      I was literally just thinking of the same thing

  • @laaori
    @laaori 5 ปีที่แล้ว +112

    Just in time! You have gotten me through Chemistry, Physics, Calculus and now Stats. I’ve gotten really good grades in those past classes and I’d like to give you some credit. When I’m not a broke student I promise you I will remember the help you gave me, Mr Wahlberg.

    • @mmdg1917
      @mmdg1917 4 ปีที่แล้ว +3

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      @thangtran145 3 ปีที่แล้ว +8

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    • @DanishJaved
      @DanishJaved ปีที่แล้ว +1

      are you doing good financially now / graduated?

    • @DanishJaved
      @DanishJaved ปีที่แล้ว +4

      been 4 years thought I'd ask lol

  • @RomeoJ1996
    @RomeoJ1996 2 ปีที่แล้ว +11

    Entering this week of stats we’re covering hypothesis testing in MATH302, without even reviewing the material this week you just taught me exactly all I needed to know to solve paired samples

  • @colleen1396
    @colleen1396 3 ปีที่แล้ว +12

    Thank you so much for making this video! I wasn't able to attend my online class due to internet problems so I was really having hard time coping up with the activities. But this video helped me so much! Love from the Philippines! ❤️

  • @tinkamugishavianney1784
    @tinkamugishavianney1784 3 ปีที่แล้ว +2

    Its amazing how i sleep and dodge lectures keeping in mind organic chemistry has got my back.....God bless you your a hero to many

  • @Alchemist10241
    @Alchemist10241 ปีที่แล้ว +1

    I've added videos of this channel to my review list and I review them once in a while but every time I learn some new points. 👍

  • @thibodeauxchris4171
    @thibodeauxchris4171 3 ปีที่แล้ว +4

    I am sure you get these comments a lot judging by the ones on this video, but you are educating a generation of STEM students. Your videos have gotten me through all of calc-calc 3, statistics, and DE. I owe you more than you will ever know. Your videos have allowed an old fart like me to return to school and change the lives of myself and my family. I hope you sleep well at night knowing that you have made a lasting impact on the entire world through your videos.

    • @thibodeauxchris4171
      @thibodeauxchris4171 3 ปีที่แล้ว +1

      Forgot to add in linear algebra! I'd be toast without your hands-on videos.

  • @stephaniemoura9325
    @stephaniemoura9325 ปีที่แล้ว +1

    This was soo hard to find! Exactly what I’ve been looking for! One sample for comparing the effectiveness of two variables!

  • @adityendrapratapsingh7999
    @adityendrapratapsingh7999 4 ปีที่แล้ว +20

    When calculating 95% confidence interval, shouldn't you use t-value for 0.025, df=9( t table at 08:14). You used the t-value for 0.05 which will make it 90% confidence interval (10:53).

    • @surihapsari6595
      @surihapsari6595 4 ปีที่แล้ว +2

      Remember, it's a one-tailed test! :-)

    • @itsrishika7022
      @itsrishika7022 4 ปีที่แล้ว +2

      yea I had the same concern

    • @angeleatitia1664
      @angeleatitia1664 4 ปีที่แล้ว +11

      @@surihapsari6595 CI is always 2-tailed

    • @flameon8185
      @flameon8185 3 ปีที่แล้ว +13

      t value must be 2.262 right?

    • @chrisnedelchew
      @chrisnedelchew 3 ปีที่แล้ว +1

      You are right, CI is always 2-tailed. He just made a mistake.

  • @Cat-it7sl
    @Cat-it7sl 3 ปีที่แล้ว +2

    oh my god you're a lifesaver, i was so lost on all of this but i actually get it now. THANK YOU

  • @Chikulamayembe57
    @Chikulamayembe57 2 ปีที่แล้ว +16

    Brilliant presentation. I have learnt a lot from your videos Sir. On confidence interval construction, were you not supposed to use t_(9; 0.025)=2.262?

  • @isaacwachira8803
    @isaacwachira8803 3 ปีที่แล้ว +8

    Shouldn't the null hypothesis be that the mean difference equals to zero?

  • @kingrey405
    @kingrey405 2 ปีที่แล้ว

    This man is a science-maths teacher. Any field he is very good 👍🏾

  • @andrewwashere
    @andrewwashere 3 ปีที่แล้ว +5

    Thank you so much! I’m a psychology student and this helps a lot

    • @jorrpatel238
      @jorrpatel238 ปีที่แล้ว

      Me too, let's connect? What's your Instagram?

  • @amudh
    @amudh 2 ปีที่แล้ว

    I am repeating what others have said here. This is exceptionally done!

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    @ashutoshsingh7529 2 ปีที่แล้ว +1

    Give this man a medal!

  • @lemmarie4091
    @lemmarie4091 3 ปีที่แล้ว

    Thankyousomuch. I won't be able to answer my stats activities without your helpful tutorials. Godbless💙

  • @KhaleesiZA
    @KhaleesiZA 7 หลายเดือนก่อน

    YOU HELPED ME, SOOO MUCH FOR MY ASSIGNMENT WHICH I HAD NO UNDERTSANDING AND I LOVE YOU FOR THIS VIDEO!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! CAUse my lecturer was not explaining properly, the way you just did. so THANK YOU!!!!

  • @choolwe5564
    @choolwe5564 6 หลายเดือนก่อน +1

    Bro taught me math in high school now he’s teaching my stats in university he never fails

  • @dendeibrahimadekanmbi8022
    @dendeibrahimadekanmbi8022 5 ปีที่แล้ว +10

    I thank you for these works you have been doing and also for sharing your knowledge. Some of your videos clearly explain what many textbooks can not do. Please, are you hoping to deal with topics such as: factor analysis and principal component analysis? Many
    Thanks

  • @rafaella5
    @rafaella5 3 ปีที่แล้ว +9

    Hello! Please I hope someone answer I really need help. How do I know if it should be before-after or after-before?

    • @ethanbennink7680
      @ethanbennink7680 3 ปีที่แล้ว

      it works either way, just make sure that the tail is facing in the corresponding direction.

  • @RamonTogonon-ec1ey
    @RamonTogonon-ec1ey ปีที่แล้ว

    God would certainly bless you with good health for your great job in educating a vast generation of academicians.

  • @Vintagetube310
    @Vintagetube310 3 ปีที่แล้ว +2

    You’re the best, man!

  • @harrybarden6053
    @harrybarden6053 3 ปีที่แล้ว

    got on the wrong bus, on my way to uni and watching your videos before class.
    love your work

  • @khaishir1968
    @khaishir1968 4 ปีที่แล้ว +3

    thank you so much for this i can use this now in my dissertation to calculate stuff !!Thanks a lot

  • @Richard-kz1ee
    @Richard-kz1ee 3 ปีที่แล้ว

    My best online prof. Heart you Sir

  • @izuhnapoleon7860
    @izuhnapoleon7860 4 หลายเดือนก่อน +1

    You're a life saver! ❤

  • @fredessafigueroa1666
    @fredessafigueroa1666 ปีที่แล้ว

    Wow!! Super easy to follow, awesome tutorial.

  • @hallaallam7091
    @hallaallam7091 3 ปีที่แล้ว

    Thanks you saved my statistic exam

  • @anthonyliu2264
    @anthonyliu2264 5 ปีที่แล้ว +4

    Appreciate your time to go over paired T test. Can you go over on SPSS because that is what my college is using instead of excel

  • @signedturnip6442
    @signedturnip6442 3 ปีที่แล้ว +2

    Shouldn't we use n-1 to do the standard deviation since we're talking about samples? or are the differences not considered samples in these cases?

  • @peruskins96
    @peruskins96 4 ปีที่แล้ว +1

    When do you take the absolute value of T and critical values?

  • @hyerijeong9332
    @hyerijeong9332 2 ปีที่แล้ว +3

    Shouldn't we use .025 instead of .05 for t when we do the confidence interval?

    • @leahhall7504
      @leahhall7504 2 ปีที่แล้ว

      No, I don't think so. I also am working on stats atm and struggled with that question. From what I have found, even when you construct a confidence interval for two-tailed tests, you still use the critical t value that corresponds to the given alpha. I think you divide alpha by two when you are finding the p-value of a two-tailed test.

    • @darknessdash1853
      @darknessdash1853 2 ปีที่แล้ว +1

      the example is a one tail t test, so you dont divide alpha by 2, you can understand that from the null hypothesis, since it uses greater than or smaller than < > it should be one sided.

    • @noahchoi1213
      @noahchoi1213 2 ปีที่แล้ว

      if it was a two-tail test you would use .025 on each tail, but since its left-tailed its just .05 on the one side.

  • @dizzyboy92
    @dizzyboy92 2 ปีที่แล้ว

    Excelent video. Just commenting to boost it.

  • @meenukrishna7684
    @meenukrishna7684 4 ปีที่แล้ว

    Exceptionally good....very clear and simple presentation

  • @mufarachisi4236
    @mufarachisi4236 6 หลายเดือนก่อน

    You're the best Mat God bless you

  • @esthermuseba4278
    @esthermuseba4278 4 ปีที่แล้ว +1

    Many thanks for simplifying this topic.

  • @MohamedAmr-s6n
    @MohamedAmr-s6n ปีที่แล้ว

    On calculating the Confidence interval, why did you get the t critical at alpha not alpha/2?

  • @jokerplaypoker
    @jokerplaypoker 16 วันที่ผ่านมา +1

    May i ask if the question doesn’t provide the before information respectively, but give u a sample mean. Can it still be calculated?

  • @AN-ts4rf
    @AN-ts4rf 4 ปีที่แล้ว +2

    Man, thank you one more time!! for the second year in a row your saving my ass!!

  • @nanjuldopsal260
    @nanjuldopsal260 3 ปีที่แล้ว

    Many thanks for breaking this down.

  • @riky2107
    @riky2107 5 หลายเดือนก่อน

    for confidence interval shouldn't we use the two-tail t-score, in this case "2.26" 9df?

  • @zarazafar4886
    @zarazafar4886 3 ปีที่แล้ว +1

    Is it always after - before?

  • @Strikerfm1
    @Strikerfm1 6 หลายเดือนก่อน

    I did this on my own before watching the video. What I did was get the avg weight of before the program, the avg weight of after the program, and the SD from the after the weight loss program. I then used the formula and still ended up rejecting the null hypothesis. Was this approach correct? here is the data . AVG before (206.5) AVG after (193.4) SD 18.1945. I got a calcutalted t value of -2.277 which is way past the -1.833 .

  • @nansubugaangella9934
    @nansubugaangella9934 ปีที่แล้ว

    ❤thank you, you actually save lives

  • @yajatchoksi2652
    @yajatchoksi2652 ปีที่แล้ว

    how do we/you know that the grap is left or right-sided and how to know that the grap is one tail or two tail

  • @peytonperduyn9009
    @peytonperduyn9009 หลายเดือนก่อน

    Even though the t-test is one-tailed, the CI95 is bounded on both sides? Shouldn't a one-tailed CI be bounded by either negative infinity at the lower bound or infinity at the upper bound?

  • @CamiloSanchez1979
    @CamiloSanchez1979 ปีที่แล้ว

    Why am I getting -21.173, -5.03 on my calculation for the confidence interval when I use the equation given by professor?

  • @itzboyon6983
    @itzboyon6983 3 ปีที่แล้ว

    This teacher is not a human, trust me! He is a God, a life-saving God! 😢😢😢

  • @bertram1724
    @bertram1724 3 ปีที่แล้ว +1

    how do I get the P-value from this?

  • @Brian_LeFevre
    @Brian_LeFevre 2 ปีที่แล้ว

    You’re a legend

  • @joserobertopacheco298
    @joserobertopacheco298 3 ปีที่แล้ว

    Very Good explanation.

  • @flameon8185
    @flameon8185 3 ปีที่แล้ว +1

    10:50 t value must be 2.262 right?

    • @maiarahmed8430
      @maiarahmed8430 3 ปีที่แล้ว

      No, that is for a two sided t-test. In this case, we are working with a left-tailed t-test, so we use alpha as it is - 0.05 - (do not divide by 2) and 9 degrees of freedom, gives us a t value of -1.833

    • @imanbanerjee8276
      @imanbanerjee8276 3 ปีที่แล้ว

      Yes. If the test is one sided like described in part a the upper bound should be positive infinity. But in the solution of part b two finite end points are being calculated.

  • @jenkomatic
    @jenkomatic ปีที่แล้ว +1

    Thank you for your video, it's really helpful! Do you know if the difference in mean values can also be used to quantify the effect size? Is there a separate test you could on the mean difference to quantify an effect size?

  • @minjinseo3681
    @minjinseo3681 ปีที่แล้ว

    Wait, you said in 3:02 that mu_d is the sample mean difference. How come that you said mu_d is a population mean difference this time at 8:50? I'm a bit confused.

    • @minjinseo3681
      @minjinseo3681 ปีที่แล้ว

      Also, is this problem a one or two-tailed paired t-test?

  • @samueldarenskiy6893
    @samueldarenskiy6893 ปีที่แล้ว

    shouldnt we have t alpha/2 since we are dealing with confidence intervals? So, ~2.26

  • @zacharyh8253
    @zacharyh8253 ปีที่แล้ว

    Why is it -3.18 for Tc instead of -0.318 ? Rounding?

  • @mahdihabibi1875
    @mahdihabibi1875 หลายเดือนก่อน

    thanks so much for the video. you always help us. BUT the value for t is miscalculated here. CHECKING MULTIPLE T TABLES, T=2.262

  • @Sawdust6666
    @Sawdust6666 6 หลายเดือนก่อน

    Thank you so much you are superb at what you do.

  • @turnabuse7035
    @turnabuse7035 4 ปีที่แล้ว +1

    Thank you so much. I found question type, which i look for, eventually.

  • @cosmokramer7708
    @cosmokramer7708 2 ปีที่แล้ว +3

    I don't think we ever say there is sufficient evidence to support the alternative....we simply say we fail to reject the null. They are two different things and quite serious

  • @surihapsari6595
    @surihapsari6595 4 ปีที่แล้ว +1

    Can anyone tell me why my upper and lower values of 95% CI of the difference in SPSS are different to those in the video (-22.418 & -3.782)? All other numbers are the same, the mean, std. deviation, std. error mean, calculated t-value, and df.

    • @surihapsari6595
      @surihapsari6595 4 ปีที่แล้ว

      Using the CI formula in this video th-cam.com/video/TMRBGFIj0RM/w-d-xo.html gives me the same values as SPSS.

    • @itsrishika7022
      @itsrishika7022 4 ปีที่แล้ว

      when calculating the CI you have to use t at alpha/2 so t0.025 at df = 9 which would give you these values

  • @Beingzuuu
    @Beingzuuu 9 หลายเดือนก่อน

    what if the n is more than thirty, do we still use this formula and just replace the t with z?

  • @commonwang1457
    @commonwang1457 3 ปีที่แล้ว

    I have a question. what conditions we need to confirm in order to constract confidence interval?

  • @ghaniyd6292
    @ghaniyd6292 6 หลายเดือนก่อน

    Hi, do you know the source book/journal for paired t-test?

  • @analuciaaraujoraurau197
    @analuciaaraujoraurau197 2 ปีที่แล้ว +1

    Hey guys! In first place, thank you so much for the video. One question: Is it possible to use another parameter than the population mean in the hypothesis? Let's say I want to measure if the sample mean of a sports team's height is greater than a certain limit. This limit is not the population mean, but just a value established by rules. Could I run the t test?

  • @nageenajamrozbspsychologys7223
    @nageenajamrozbspsychologys7223 4 ปีที่แล้ว +1

    this was helpful thanks sir

  • @ratnanirupama
    @ratnanirupama 2 ปีที่แล้ว

    Isnt the t value formula meant for an unpaired t test?? this video is on paired t test right

  • @arlenemaesalera949
    @arlenemaesalera949 3 ปีที่แล้ว

    is it a general rule to subtract after to before (after - before)??? really need the help.

    • @philipcho231
      @philipcho231 3 ปีที่แล้ว

      No. But in this case they wanted weight reduction so before-after would be easier to explain

  • @joanchong6622
    @joanchong6622 6 หลายเดือนก่อน

    hi, may I ask if the sample size data of before and after is not the same, how can I solve this?

  • @wubesemagn2021
    @wubesemagn2021 3 ปีที่แล้ว

    Thank you, It really is helpful.

  • @tjpradeep2003
    @tjpradeep2003 2 ปีที่แล้ว

    Bro how to choose one tail or two tail for sample distribution

  • @D4rkVenge
    @D4rkVenge 3 ปีที่แล้ว +1

    Hey there, hopefully you see this. It's ok if you don't, I LOVE your videos, thank you so much.
    I was on the part when you find the Standard Deviation of the Mean of the Differences. and I found my Standard Deviation a different way; I used Sum of Squares to find the Standard Deviation - S (Standard Deviation of the Mean) = √Σ(x-Mean of Differences)^2 / N-1 (Degrees of Freedom). When I found the Standard Deviation with the variance formula, instead of your Standard Deviation, 13.025, I instead calculated 12.76. Do you also get that SD when you calculate the SD of the Mean with the Variance Formula?

  • @theodoresweger4948
    @theodoresweger4948 ปีที่แล้ว

    Very well done thanks.

  • @mabelting963
    @mabelting963 3 ปีที่แล้ว

    It helped a lot🙏🙏

  • @Ventixo
    @Ventixo ปีที่แล้ว

    I dont understand why for the weight loss, the null hypothesis isn't mewd is less than 0. Isnt the status quo that the weight loss program IS effective??

    • @andycantero1968
      @andycantero1968 หลายเดือนก่อน

      Exactly my thought. Doesn't make much sense

  • @Thevisibleman844
    @Thevisibleman844 ปีที่แล้ว

    How can I calculate it by using the calculator

  • @peace58489
    @peace58489 4 ปีที่แล้ว +1

    Im confused. I thought when the Statistic > critical value you reject the Null Hypothesis but you did the opposite. Please explain why because i thought this rule was consistent throughout statistics.

    • @woodchuk1
      @woodchuk1 4 ปีที่แล้ว

      joseph smith In this case, the alternate hypothesis is directional, meaning that the test is one-tailed. It happens to be left-tailed because the alternate hypothesis involves a mean difference less than zero. Since it’s left tailed, the critical value is negative. The rejection region is always to the more slender side of the curve; therefore, if the critical value boundary is negative (on the left side of the curve), the rejection region is farther to the left of the critical value boundary, that is, where the curve is skinnier. This amounts to saying that the null is rejected if the test statistic is more negative than the critical value (which is itself negative in this case).

    • @sheilafajardo240
      @sheilafajardo240 4 ปีที่แล้ว

      no it depends on the test used

  • @michelleacab6024
    @michelleacab6024 3 ปีที่แล้ว

    Hello. It is possible to use paired t-test if I get the mean scores of before and after, not its total scores?

  • @malkim201
    @malkim201 ปีที่แล้ว

    Very valuable thank you so much

  • @KamranKhan-pm9sj
    @KamranKhan-pm9sj ปีที่แล้ว

    Sometimes we do (after - before) and sometimes (before - after) ... what tge reason?

  • @sinaabedini7487
    @sinaabedini7487 4 ปีที่แล้ว

    You are the greatest

  • @nimoosman7716
    @nimoosman7716 10 หลายเดือนก่อน

    Wilcoxon rank sum test ?

  • @theodoresweger4948
    @theodoresweger4948 2 ปีที่แล้ว

    Just because I have nothing better to do I used my HP35s for a trend line and I got a r factor of +.914 which means it has a decent probability, and the m factor was .624 and b factor was 64.4 giving a formula final weight equals aprox .624*initial weight+64.4 comes close have fun...Not responsible for minor errors this is statistics!!!!

  • @__evanhart5320
    @__evanhart5320 3 ปีที่แล้ว

    the standard deviation i get on my calculator ( because i can input it there) is 12.3. idk why im always a few points off when it i do it that way

    • @justinmulyagananda1057
      @justinmulyagananda1057 3 ปีที่แล้ว

      Did you use the Sample Stdev?

    • @amaanahmed8936
      @amaanahmed8936 3 ปีที่แล้ว

      @@justinmulyagananda1057 yes i got 12.3 too, i used the general standard deviation formula, is it wrong?

  • @ermutanda3802
    @ermutanda3802 10 หลายเดือนก่อน

    I know this is super late but why did he use the t values for 1-a and not 1-a/2 when computing the confidence interval? The way he did it he found it for a 90% confidence level no for a 95% confidence level like requested

  • @philipcho231
    @philipcho231 3 ปีที่แล้ว

    Anyone know why null is >=0 not =0? I thought null was about no change.

  • @anjumshaikh3270
    @anjumshaikh3270 5 ปีที่แล้ว

    Thank you Sir.Greatful to u

  • @eulastamayo328
    @eulastamayo328 4 ปีที่แล้ว +1

    thank u for this

  • @mdichathuranga1
    @mdichathuranga1 4 ปีที่แล้ว +2

    hi thanks for the video, just need to get a point clarified when getting the confidence interval shouldn't the (Alpha /2) be used which is 0.025, But 0.05 .... because for confidence interval we usually use t(Alpha/2) right ? ....
    in your previous video, you mention we should be using t(Alpha/2) : th-cam.com/video/MUD390jtgQs/w-d-xo.html
    would you be able to advise on this ?.....
    Thanks,
    best reagards.

    • @bffchannel9860
      @bffchannel9860 4 ปีที่แล้ว +1

      Ishan Chathuranga nah cuz it’s 1 tail

    • @mdichathuranga1
      @mdichathuranga1 4 ปีที่แล้ว +1

      @@bffchannel9860 thanks 👍

  • @peanutlah
    @peanutlah 4 ปีที่แล้ว

    Thank you very much!

  • @dthakur9056
    @dthakur9056 3 ปีที่แล้ว

    What if t value is in negative

  • @lavishangel4069
    @lavishangel4069 2 ปีที่แล้ว

    How do I pay my tuition fee?

  • @cjk9518
    @cjk9518 4 ปีที่แล้ว

    Thank you so much,God bless

  • @RobertThiviya
    @RobertThiviya ปีที่แล้ว

    Why is the significance level changing from 5% to 0.05

  • @mohammedakhrib499
    @mohammedakhrib499 4 ปีที่แล้ว

    Thank you so much

  • @marlanarsi2590
    @marlanarsi2590 ปีที่แล้ว

    Qusetion ? Ha : is greater than 0 because before was heavy large number minus after smaller weight gives numbers above zero

  • @akhilanvijayan
    @akhilanvijayan 4 ปีที่แล้ว

    when I calculate SD I am getting a different value