Hypothesis Testing Problems - Z Test & T Statistics - One & Two Tailed Tests 2

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  • เผยแพร่เมื่อ 23 ม.ค. 2025

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  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  ปีที่แล้ว +62

    Statistics - Video Lessons: www.video-tutor.net/statistic.html

    • @rissvinpanchadcharam6836
      @rissvinpanchadcharam6836 ปีที่แล้ว +3

      i love you

    • @micahazzeyah6133
      @micahazzeyah6133 ปีที่แล้ว

      Helloo! Can you please make a video lecture of hypothesis testing using t test and z test again, but this time with managerial decisions? Thank you!

    • @iyanuifalola
      @iyanuifalola ปีที่แล้ว

      @@micahazzeyah6133 very good in teaching

    • @jonathanomara4815
      @jonathanomara4815 ปีที่แล้ว

      0

    • @musasheriff-p6v
      @musasheriff-p6v 11 หลายเดือนก่อน

      If the mean is not equal to 2, it is a 2-third test, and if the mean is less than 2, it's a 1-third test. Can you please explain this better in the next video?

  • @shawnscientifica7784
    @shawnscientifica7784 4 ปีที่แล้ว +3552

    No cap, I learn more from this youtube page than my actual university lessons

    • @normadicn5700
      @normadicn5700 4 ปีที่แล้ว +72

      As always. University is just a proof that you probably learn it not a means to actually learn something 😂

    • @13GreatBeatBox
      @13GreatBeatBox 4 ปีที่แล้ว +149

      University Assigns, TH-cam Teaches.

    • @ranani20
      @ranani20 4 ปีที่แล้ว +22

      @@13GreatBeatBox wise words

    • @willioofgodlaguerre5519
      @willioofgodlaguerre5519 3 ปีที่แล้ว +2

      Me too

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      @farahyzaini8140 3 ปีที่แล้ว +1

      same

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    @abdulrahmanabdelaziz8660 5 ปีที่แล้ว +2671

    this man is going straight to heaven.

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      @ferry6700 4 ปีที่แล้ว +19

      Aamiin

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      @EtAs-h9e 4 ปีที่แล้ว +4

      Amen

    • @oluwafunto
      @oluwafunto 4 ปีที่แล้ว +8

      Amen

  • @elideg4798
    @elideg4798 2 ปีที่แล้ว +246

    I just want to say that your videos go over the exact curriculum in classes I’ve take since high school and I almost have my degree now, I have probably watched your videos more that my lectures. I don’t know how you have this much skill and organization to put the videos out that you do, but ur a straight blessing to any student out there who needs help - u the best tutor ever

  • @AspireTechYT
    @AspireTechYT 4 ปีที่แล้ว +352

    If your reading this comment, thank you! You saved me from a big quiz in school and i didnt study for it but this video while riding the bus to school is a blessing. Got 55/60. THANK YOU!

    • @kentgil2526
      @kentgil2526 3 ปีที่แล้ว +7

      Youre welcome

    • @Rowed
      @Rowed 2 ปีที่แล้ว +9

      nah watching this video is studying for it

    • @johnbuttersworth584
      @johnbuttersworth584 ปีที่แล้ว +1

      Study next time, said the instructor..

    • @DerangedIntellectual9
      @DerangedIntellectual9 9 หลายเดือนก่อน +3

      man how you got a quiz outta 60?

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    @luinor380 5 ปีที่แล้ว +364

    this man is why I’m passing stats I swear

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    @aviiegyu691 2 ปีที่แล้ว +266

    you literally saved me from mental breakdowns for the nth time now. I have been watching your videos since i was in junior high and now i'm in college your vids are so comprehensive than what my teachers and the books taught me. It is hard to cope esp in this pandemic when i have no one else to ask for help but your vids are rlly helpful so thank you sm

    • @NONAME-yv3lq
      @NONAME-yv3lq 2 ปีที่แล้ว +1

      How did he get the 0.025??

    • @NONAME-yv3lq
      @NONAME-yv3lq 2 ปีที่แล้ว +1

      Please enlighten mee

    • @jesperlundin1032
      @jesperlundin1032 2 ปีที่แล้ว +8

      @@NONAME-yv3lq Its the leftover 5% from the 95% confidence level, split on each side to make 0.025 or 2.5%.

    • @yin4296
      @yin4296 2 ปีที่แล้ว

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  • @yourpapa6641
    @yourpapa6641 ปีที่แล้ว +536

    To those wondering on the Z-score values of 1.96 and confidence value of 95%:
    Confidence level (CL) formula = 1 - (confidence value) = 1 - 0.95 = 0.05, and we divide this by 2 (0.05/2) to get the alpha values on both tails ~ 0.025.
    You can also use this formula A = (1-CL)/2 which gives you your alpha for one tail. As these graphs are symmetric we put the alpha values on both sides.
    Once you have this value you go on your Z-score table.
    At alpha value = 0.025, look down at the (deg of freedom which is given by formula: 1 - n, where n is sample size) but since we have 1 - 40 = 39...
    The 39 is no where on the freedom column. In this case we use the infinity value which is: 1.960 ~ 1.96
    Cheers

    • @haleylearn
      @haleylearn ปีที่แล้ว +10

      This is my question, thank you so much

    • @los1868
      @los1868 ปีที่แล้ว +2

      "The 39 is no where on the freedom column. In this case we use the infinity value which is: 1.960 ~ 1.96" Is this because it is a Z distribution? if its T should I just use the nearest degrees of freedom to the value of n-1?

    • @yourpapa6641
      @yourpapa6641 ปีที่แล้ว +2

      @@los1868 same concept. If you do not find the deg of freedom that matches on your table then you can use the infinity value from the t distribution. (I am not a teacher sorry so I can't describe the story as to why but this is something I find works in every question that I have encountered so far.) Hope it helps!

    • @Nana-fe8iv
      @Nana-fe8iv ปีที่แล้ว

      Thank you man

    • @souben2147
      @souben2147 ปีที่แล้ว +7

      do you mean the T table because in z score table there is no alpha or deg of freedom ?

  • @ritchelbacan7676
    @ritchelbacan7676 4 ปีที่แล้ว +247

    thank you, this better than 2 hours of listening to my teacher,

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      @eliizabeth7557 3 ปีที่แล้ว +13

      this thread lmfaoooo

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    @MysteriousPrinceCharming69 2 หลายเดือนก่อน +2

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    @mr.m3728 2 ปีที่แล้ว +5

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  • @araww75
    @araww75 4 ปีที่แล้ว +67

    Exams day tomorrow and this really help me understan A LOT. THANK YOU😩

  • @feleciabarnes6251
    @feleciabarnes6251 3 ปีที่แล้ว +45

    Thank you for taking your time and going through The Z and t procedures in a step-by-step manner in which I could understand understand. Furthermore I appreciate the way you compared the t critical value To the T test statistic using the formula which now helps me to understand how you reject or fail to reject the null hypothesis.

    • @daniumbao9702
      @daniumbao9702 3 ปีที่แล้ว +1

      The alternative hypothesis is not rejected when the null hypothesis is rejected?

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    @praxiprogramming5533 3 ปีที่แล้ว +11

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    @ogechiezurueme857 3 ปีที่แล้ว +2

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  • @photoguy4212
    @photoguy4212 2 ปีที่แล้ว +29

    Another great video. Thanks a ton. My stats Professor is decent at explaining fundamentals but this really puts everything he’s said into context and practice.
    You seriously saved me hours and hours worrying.

  • @CM-gw1wp
    @CM-gw1wp 3 ปีที่แล้ว +9

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    @albertandguitars 2 ปีที่แล้ว +9

    This guy’s lectures are very detailed while my professor’s lectures are too abstract. Thank you so much for helping me out!

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    @YaredGirma-o9q 6 วันที่ผ่านมา

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    I have learned from you for 2 years and during these times i was absent in the class.because i know that no one is better than you
    Thanks alot for all lessons not only in statistics, but also all other subjects

  • @rachaelmc
    @rachaelmc 5 ปีที่แล้ว +35

    I was certain I was going to fail my statistics exam today until I found your videos. You are the best. Thank you.

  • @RomeoJ1996
    @RomeoJ1996 3 ปีที่แล้ว +14

    Makes so much sense! This week in my MATH302 course we’re going over hypothesis testing for sample T-Test, sample Proportion, 2 Proportions, 2 independent samples, paired samples.

  • @zahrahussein7648
    @zahrahussein7648 4 ปีที่แล้ว +4

    You literally explain in the best way for dummies, I swear! A lifesaver.

    • @federalmayhem
      @federalmayhem 4 ปีที่แล้ว

      Better than your Marxist professors? Who would of thought.

  • @abbieamavi
    @abbieamavi ปีที่แล้ว +6

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    @kehindeadelu3699 2 ปีที่แล้ว +69

    POV you have an exam and your here to teach yourself the entire course

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      @onceuponapaige1064 9 หลายเดือนก่อน +1

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      @christypalatty8022 9 หลายเดือนก่อน

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      @asasirabrendacohens3002 หลายเดือนก่อน

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    @sharandamodaran2441 3 ปีที่แล้ว +2

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    @lucasm4056 2 หลายเดือนก่อน +1

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  • @ahogan6641
    @ahogan6641 3 ปีที่แล้ว +4

    Man....where were you went I was struggling with stats! I learned more in this video than I did during a whole term at school. Awesome work. Thank you.

  • @neilaldrinx
    @neilaldrinx 2 ปีที่แล้ว +2

    I've watched videos that teach the t-test but this video explained the purpose and calculations more masterfully. Thank you.

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    @broker17-u9t 5 ปีที่แล้ว +18

    Thank you Mister for dedicating so much time, I followed in Applied Calculus videos and I passed the course thanks to you! I hope do good as well in Applied Statistics! Thank you again!!!!!

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    @lulu-fv9vo หลายเดือนก่อน

    You are literally saving me. My exam is in less than 13 hours. Ive been in a class for 4 months and have understood nothing. I now know what's going to be on my final. I am in so much debt to you. Thank you!!!

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    @akanmikedavid 2 ปีที่แล้ว +4

    In fact I was so confused after my lecturer rushed me through this but now I have gained freedom from this lessons, God bless you so much Prof ❤️

  • @sampride9107
    @sampride9107 ปีที่แล้ว

    Really helped me with my stats final

  • @animanfan5442
    @animanfan5442 4 ปีที่แล้ว +4

    omg thank you so much. I was so confused about how the t-test and rejection/accepting the null hypothesis worked together. I've been so confused about all of this for like 3 years (yes I procrastinated that much). It should really help me pass my statistics test for biochem. working the way through example was a really good way of explaining it.

  • @stacigrimes9920
    @stacigrimes9920 ปีที่แล้ว

    Literally the first person that has helped me make sense of the "reject/not reject". Great teacher!

  • @elfulano5884
    @elfulano5884 3 ปีที่แล้ว +9

    I'm currently preparing for the CFA exam. You clearly and easily explained this material in under 14 minutes whereas my study guide devotes a 20- page chapter. THANK YOU!!

    • @antonioromero878
      @antonioromero878 ปีที่แล้ว +1

      Agreed. Used for my CFA, by far a much clearer explanation

    • @Darth.Caedus
      @Darth.Caedus 8 หลายเดือนก่อน +1

      Ah, hello there, fellow CFA folks. This man does make hypothesis testing much easier!

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    @RitaOkorie-b1r ปีที่แล้ว +2

    This video is a destiny saver. I lost in class , it's just opaque so I decided to watch and learn from you. I'm glad I did and thank you for putting up such a great content.

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    @cha1645 4 ปีที่แล้ว +12

    According to voice you seemed to be younger than me. Im using your lectures a lot. May your god bless you for what you are doing to help others. Please publish more videos.

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    @Sum184 หลายเดือนก่อน +1

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  • @ConradIAburime
    @ConradIAburime ปีที่แล้ว +3

    Rare gem. Thanks a lot for all your explanations.

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    @bindhusri4717 3 ปีที่แล้ว

    Best video in hypothesis. I spent days listening to hours and hours of videos on hypothesis but this is the best one

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    @landykenduanyi847 2 ปีที่แล้ว +9

    Your videos on youtube are simply the best it has help me to validate all my Biochemistry courses. Thank you JG. I wish I could make videos like you just that I don't have the equipments 😁

    • @shawnscientifica7784
      @shawnscientifica7784 2 ปีที่แล้ว +1

      Same, I think we should. It would help our fellow STEM colleagues so they won't get stuck on this and can instead use their minds to advance the fields and postulate new ideas. Any help would be useful

  • @johnbuttersworth584
    @johnbuttersworth584 ปีที่แล้ว +1

    Thank you !
    I never understood the one and two tailed test before and watching this video will help me with my biostatistics class.!

  • @raymondbenny8322
    @raymondbenny8322 3 ปีที่แล้ว +3

    Thank you, man. Exactly this question was given as the take home test and I get done within few minutes after watching.

  • @sarabelkacem9089
    @sarabelkacem9089 23 วันที่ผ่านมา

    thank u so much, after searching on youtube for hours finally someone who goes straight to the point

  • @felixlizwe1945
    @felixlizwe1945 4 ปีที่แล้ว +5

    Amazing stuff... u r a life saver. I have actually grasped the dreaded Hyp. testing in full now. Awesome!!!

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    @codehorror6743 2 ปีที่แล้ว

    this channel literally saved my life more than i can count atm no cap

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    @lilianechu5090 4 ปีที่แล้ว +6

    thank you so much for this video. my teacher talks way too fast and talks in "numbers" (he doesnt work with the board to show us his calculations but instead does his calculations orally). what i had trouble doing for 2-3 weeks, i figured it all out with your help x)

    • @CocaBrunel
      @CocaBrunel 3 ปีที่แล้ว

      Your teacher sounds "fun".

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    @japojo1958 7 หลายเดือนก่อน

    Organic Chemistry Guy. You ARE my university statistics teacher. I'm 64 yo and haven't been in university for 41 years and I'm loving every lesson you put out.

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    @crownclown3540 4 ปีที่แล้ว +3

    Thank you!! This topic was giving me soo many problems and I couldn't understand it from my teacher for the life of me! But this cleared me right up, I even have an exam on this topic today and now I feel prepared rather that stressed, thanks!!

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    @बिहारीभायजी 3 ปีที่แล้ว

    This instructor filter every dirt from dirty water and sprinkle it on our mind. I learnt a lot

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    @EL-ISS 5 ปีที่แล้ว +29

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    @vaishnavijadhav6849 ปีที่แล้ว

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    @baabz5717 4 ปีที่แล้ว +4

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    @yousefomg0039 ปีที่แล้ว

    Your channel always comes in clutch. I genuinely love you man.

  • @mikeearevalo4979
    @mikeearevalo4979 3 ปีที่แล้ว +42

    My university professor discussed this for 3hours, yet nothing came into my mind lmao😂 this 13mn discussion makes me feel smart y'all

  • @UrN0tM7777
    @UrN0tM7777 2 หลายเดือนก่อน

    I learned more from you than csu professor. Everyone teaches differently thank you. Your lessons are blessing.

  • @arabelleshanleyleano6172
    @arabelleshanleyleano6172 2 ปีที่แล้ว +17

    me literally watching this during my final exam

    • @anuragmandan4899
      @anuragmandan4899 หลายเดือนก่อน +1

      Me also after 2 yr of this comment
      Just 2 hr before exam 😂😂

    • @abdulhafeez2813
      @abdulhafeez2813 หลายเดือนก่อน

      Me also watching during my final exam

    • @abdulhafeez2813
      @abdulhafeez2813 หลายเดือนก่อน

      😂😂

    • @sameershahzad249
      @sameershahzad249 หลายเดือนก่อน

  • @Zee-qm3vr
    @Zee-qm3vr ปีที่แล้ว

    it's you who should receive my tuition fee as opposed to my professor and the school at large. you do a wonderful job.

  • @PRubin-rh4sr
    @PRubin-rh4sr 4 ปีที่แล้ว +43

    Help! Our professor taught us to determine whether to use z or t-test, we look at the SD!
    Z-test = Population SD
    T-Test = Sample SD

    • @stephaniandrea5726
      @stephaniandrea5726 4 ปีที่แล้ว +11

      Did your prof teach you to determine it this way:
      If population SD is known, use Z-test
      If population SD is unknown, use T-test?
      If yes, I'm having the same confusion as you

    • @TheBeccaFashionVlogs
      @TheBeccaFashionVlogs 4 ปีที่แล้ว

      @@stephaniandrea5726 Mine did

    • @killergames3634
      @killergames3634 4 ปีที่แล้ว +1

      @@stephaniandrea5726 if u unknow SD but ur sample is >30, u can use T-test ecuation to know Z value

    • @smeech5177
      @smeech5177 3 ปีที่แล้ว

      This entire comment section...THANK YOU ❤️

    • @vanttw6168
      @vanttw6168 3 ปีที่แล้ว

      @@killergames3634 why is it 30?

  • @johnbuttersworth584
    @johnbuttersworth584 ปีที่แล้ว

    You get right to the point and show the problem with a very calming manner.!
    I watch these to help me sleep. Lol

  • @rolitogahuman7155
    @rolitogahuman7155 5 ปีที่แล้ว +4

    Thank you for this video..i really learn a lot..hope to see more videos from you..Godbless

  • @joemama9983
    @joemama9983 2 ปีที่แล้ว +2

    Very helpful review for a college student who has taken stats in pasts semesters and wants to teach it. Thank you!

  • @dreameditingproo
    @dreameditingproo 2 ปีที่แล้ว +28

    Why universities don't hire these TH-camrs.... 😅

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    @MrOusmane23 ปีที่แล้ว +1

    You are definitely the best teacher ever. Thanks a lot Sir.

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    @sanjidahaque4090 2 ปีที่แล้ว +4

    Null hypothesis of life: life is painful because of those non departmental courses, which you can't reject

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    @thembimantirisi8054 2 หลายเดือนก่อน +1

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    @cyrilcalma7936 3 ปีที่แล้ว +16

    well i guess, i should've just enrolled here in youtube instead of school since i still go to youtube to learn our lessons.

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    @virajghoderao10 3 ปีที่แล้ว +2

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  • @tanvigandhi8752
    @tanvigandhi8752 5 ปีที่แล้ว +6

    As per the video, our condition for t test is sample size less than 30 and population std not known. However, population std was not known even in 1 scenario also.
    But what role does population std plays here. Coz' in both the examples, we didn't needed to use population std..so why this factor is important

  • @onicariri5576
    @onicariri5576 4 ปีที่แล้ว +1

    I don't know what i would be without your videos. Literally theeee best. Thank you sm.

  • @vinayvyraveraja7102
    @vinayvyraveraja7102 2 ปีที่แล้ว +3

    for the first question, since the sd was from the sample of 40, shouldnt we find the unbiased estimate of the sample variance first ?

  • @aaronquinn8241
    @aaronquinn8241 ปีที่แล้ว +1

    This video seriously SERIOUSLY helped, between yours & Maths & Science tutor’s channel, you guys are teaching me stats from the ground up! 💯

  • @monmontv2664
    @monmontv2664 4 ปีที่แล้ว +10

    How did we get the 1.96?

    • @harivanshmathur3394
      @harivanshmathur3394 4 ปีที่แล้ว

      th-cam.com/video/sJyZ9vRhP7o/w-d-xo.html

    • @animanfan5442
      @animanfan5442 4 ปีที่แล้ว

      1.96 is the critical Z value. Actually calculating it is complicated and you usually aren't expected to know how or memorise them. You usually can just look it up. It's like the relative molecular masses of elements.

    • @pamjarina8201
      @pamjarina8201 4 ปีที่แล้ว

      @@animanfan5442 where can I find it?

    • @animanfan5442
      @animanfan5442 4 ปีที่แล้ว +1

      @@pamjarina8201 just search for Z/t values. It’s like searching the value of pi

  • @vahidOffical
    @vahidOffical 2 ปีที่แล้ว +2

    Your videos on youtube are simply the best it has help me to validate all my Biochemistry courses. Thank you JG. I wish I could make videos like you just that I don't have the equipment thank you so much brother

  • @demiadeoye3869
    @demiadeoye3869 4 ปีที่แล้ว +11

    You didn’t explain how to get the critical values

    • @tylerx8848
      @tylerx8848 4 ปีที่แล้ว

      The critical value is the normal distribution table value of the level of significants (1-the confidence interval) example--- (1-.99) = .01 look this value up in the normal distribution table.

  • @kanishka.b8550
    @kanishka.b8550 3 ปีที่แล้ว +1

    Thank you for the simple explanation... our prof ate our brain while teaching this! Couldn't figure out what is the meaning of these values and procedure until this.

  • @randylinarto2237
    @randylinarto2237 2 ปีที่แล้ว +5

    why is the critical value 1.96 ?

    • @tarunkhandelwal1101
      @tarunkhandelwal1101 8 หลายเดือนก่อน

      Use z table

    • @thanosgalactos1449
      @thanosgalactos1449 5 หลายเดือนก่อน

      In a normal distribution curve 95% of the values lie between -1.96SD to 1.96SD. 99% of values lie between 2SD to 2 SD.

    • @moyinoluwaolaoluwa6712
      @moyinoluwaolaoluwa6712 4 หลายเดือนก่อน +1

      You take that 0.95, subtract it from 1, you get 0.05, divide it by 2, you get 0.025. Then you go to your z distribution table to look for 0.025, it's under 1.96

  • @Vold1ZONEFlankingKarma
    @Vold1ZONEFlankingKarma 3 ปีที่แล้ว

    THis is the best math channel on TH-cam, saves me every exam!

  • @bruuh4216
    @bruuh4216 5 ปีที่แล้ว +5

    Sponsor of your Finals preparation

  • @sharoncarla1965
    @sharoncarla1965 2 ปีที่แล้ว

    OMG! You are saving my life in my QM520 class! Never stop doing what you do.

  • @bestservedrandom2892
    @bestservedrandom2892 2 ปีที่แล้ว +3

    can somebody tell me where 1.96 came from in the first example pls

    • @Bu0Musa
      @Bu0Musa 2 ปีที่แล้ว +3

      He got another video about finding the z-score in his channel
      Search and you’ll find it.

    • @manueltorres5318
      @manueltorres5318 ปีที่แล้ว

      I was wondering the same thing...did you ever figure it out?

  • @BisayangAtin
    @BisayangAtin ปีที่แล้ว +2

    We'll take our exam on Statistics a few hours from now and your video is a big help for me to answer my exam. Thank you!

  • @jasonkimjabla1767
    @jasonkimjabla1767 5 ปีที่แล้ว +3

    in the problem no. 2, it is a left tailed test therefore if it is 0.99 confidence, its alpha is 0.005 not 0.01, because 0.01 is for two tailed test only.

    • @SirGrizzlyman
      @SirGrizzlyman 5 ปีที่แล้ว +4

      no it would be 0.005 for 2 tailed test because u have 0.01 split over 2 zones, right and left

    • @noelahkiprop5363
      @noelahkiprop5363 4 ปีที่แล้ว

      @@SirGrizzlyman exactly

    • @pazqa1794
      @pazqa1794 8 หลายเดือนก่อน +1

      He's actually right but alpha is 0.01 but alpha/2 is 0.05 one tail should be used so 3.250 not 2.82

  • @toorisky9527
    @toorisky9527 10 หลายเดือนก่อน +1

    Thanks I was confused because I was using the Zc value for the critical region instead of the z table value..I'm clear now

  • @ibrahimabdoullah5906
    @ibrahimabdoullah5906 5 ปีที่แล้ว +6

    Where did you get the 1.96

    • @gracewangare3966
      @gracewangare3966 5 ปีที่แล้ว

      That's my wonder too

    • @VikingCanadian
      @VikingCanadian 5 ปีที่แล้ว +1

      Normal Distribution Tables, You do Area Left = (1 + cl )/2 then you at what exactly that area corresponds to as a Z value.

  • @balajothiadithya3144
    @balajothiadithya3144 ปีที่แล้ว

    Whenever i watch your videos i gain confidence for solving these problems.Thanks again man

  • @rezabarzegar9613
    @rezabarzegar9613 ปีที่แล้ว +15

    I think you are the closest thing to god we have in this world

  • @happyhoa
    @happyhoa ปีที่แล้ว

    You've single handedly have been carrying me through STEM for the past half decade

  • @dekkooo6425
    @dekkooo6425 3 ปีที่แล้ว +1

    Honestly your teaching is far more better than my teacher. Keep up the good work sir.

  • @arslan3108
    @arslan3108 4 หลายเดือนก่อน

    the explanation in the first problem was so clear that it only took me a couple of minutes to grasp the topic and solve the second problem myself, thanks a lot

  • @emmanuelajibola3586
    @emmanuelajibola3586 5 หลายเดือนก่อน +2

    Thank you so much man. I'm having an exam in the next 5hrs
    You really explained this well 😊

  • @H2O_235
    @H2O_235 2 ปีที่แล้ว

    I'm literally crying rn. I needed this for my report, thank you so much! Keep posting videos plssss.

  • @tony_voltic
    @tony_voltic 10 หลายเดือนก่อน

    Oh man, I’m so happy and lucky to met this channel and have found all my concerns of stats and math ❤

  • @kasondelwao1156
    @kasondelwao1156 ปีที่แล้ว +1

    THANK YOU SO MUCH. Seeing these brilliantly simple to understand examples is really helpful for me to conceptulize the topic

  • @ravindrakhakural6757
    @ravindrakhakural6757 2 ปีที่แล้ว +1

    This makes me crystal clear on null and alternative hypothesis testing.... Thank you so much for this video

  • @DominiCBETT-kr3gl
    @DominiCBETT-kr3gl 2 ปีที่แล้ว +1

    wow,i was to compalain about the values of 1.96,but then i have realised,patience was being tested on my side.Thanks sir for your wonderful approach

  • @gauravjonnalagadda5285
    @gauravjonnalagadda5285 10 หลายเดือนก่อน

    you are a savior, i prepare for all my exams with your videos

  • @elphashatlani7419
    @elphashatlani7419 2 ปีที่แล้ว +2

    Short and straight to the point. You are always there to for us as science students Sir and thank you so much.