Your ability to condense yet still pull apart such complex topics is a true talent! I checked your stats playlist... I would love to see a follow-up going from here into probability testing in normal samples! T-statistic to T-test would be a nice transition 😊
I'll be honest with you, my professor simply stated you used the Z-Stats when the mean is unknown and t-Stats when the mean is known. That's all he said!! I've been searching for hours to find the real difference until I came across this video. Thank you again!
I’m a psychology student and failed statistics 1 once, passed next semester and then failed statistics 2 so I’m taking it this semester. It’s not that I’m bad at it but they just make it so dreadful. So glad I found this channel, I’m refreshing my memory from previous year and learning new stuff. Best of luck in everything and thank you!
This is the first time in my entire life that I got to understand this concept. Before now, I just apply it without knowing what exactly it is about. lol quite embarassing for someone with about a decade of engineering experience and engineering postgraduate degrees. Thank you for making it so intuitive. This video is the best CPD I have done this year.
My man really simplified that so well. Thank you. My masters stat teacher is so bad at teaching. The more he talks the more confusing he makes us. Honestly, the undergrad teacher was better at explaining it than him. I wish she taught it. Also, that ending statement was comforting. I hate how a hard class (feels like it) can determine your future. That was reassuring.
Shakespeare way Thanks: Much thanks do I owe thee, for thy generous and noble deeds in elucidating the complexities of statistics. Thou art truly worthy of all praise for surpassing my professor's clarity. 🙏
2:08 I dont understand in what scenario I would not know the population standard deviation when I know the population mean. Could someone explain this to me please?
You don't. What you have to do is assume the mean population. Since you have the other parameters you can sa for example, let's assume the mean population is "2", then you fill the rest of the formula and you are going to get the cumulative probability of that happening in the population. In summary, your mean population serves as an "X" that you can replace to see what's the most likely value, or better, the most likely interval.
Bruh, it was not too much information. In fact, It was all the information I needed to make everything click. Liked and subscribed as my way to say thank you.
Since you have to get the population mean in both and that can be difficult in many cases, I don't see how the t stat as any more valuable. You have the population mean in either z or t stat, getting the population SD is trivial. t stat would make more sense if you didn't have to have the population mean.
Thank you for explaining the difference between z-score and z-statistics. I've been wondering about that so much! I have a question: you said it's unlikely that we know the population's standard deviation. But how would we know what the mu is then which is the population mean?
In z-statistic sample meam is rundom an mi (population mean) is knowm, but in t-statisic sample mean is known and mi (population mean) is rundom value.
Thank You for the video! You should make an entire playlist completely decicated to Stats and more of your knowledge. This is one of the finest explanations
Thank you so much for this video. I watched several other videos and read so many examples that did not help me comprehend this concept at all. I was trying to get an understanding of the z-score and t- statistic but I received so much more from this video. Remembering various formulas is difficult for me but actually understanding a concept allows me to make meaningful connections amongst criteria. Thanks again! I can finally move to my next problem phewwwwwww!
However, for n bigger than 30, whenever pop SD is unknown, it is recommended to use the z-table and not the t-table (according to Google). Can you explain or refute that?
I have a question if population standard deviation and sample standard deviation both are given then what to do ? what to take z score or t score please reply i have exam in 2 days. really appreciate your work.
can we interpret those probabilities of the normal distribution using the empirical rule like for exemple if we get a probability equal to 97.83%, we fo a approximation?? i hope you answer this plz!
i have been going through class notes for finals (like its literally entire month away when 15th week ended) and i rather confused with this two, and with difference between Z Score and Z Statistics, but not anymore... thanks a lot. so from my understanding T Statistics aproach Z statistics as N aproaches to infintiy right?
If you have the population mean, then can't you find the population standard deviation. The t-statistic uses the population mean but sample standard deviation If we can compute the population mean, then can't we compute the population standard deviation?
Thankss! But I wonder if there is really a difference between Z score and Z statistics? I'm confused about when the √n is used and when is not, as Z score and Z statistics are generally considered the same thing as what I can find on Google😢
Great question Sean! It may be helpful to think of them as pretty much the same thing at the end of the day. The formula that I give for z-statistics is the truest form of the equation. The z-score equation is the same thing without the square root of n. That is because it is used to find the z score for a single value within a sample. Since it is a single value, n is equal to 1 which is why it disappears in that formula.
@@AceTutors1 Thank you so much for answering my query 3 months ago! As I look into where the √n comes from through mathematical derivation, I noticed that it is from the number of values taken into account to calculate variance, so when we take the square root of σ2, we will get the √n in the denominator. As I look into your video again, and fit it into the context of Z-score/statistic as explained by you, the Z-statistic with the denominator of √n is used to find 1 sample mean from a population, I reckon my understanding might be correct and would like to hear your thoughts to see if you would validate the following deductive reasoning: Does it make sense to say that the denominator in Z-statistic (Standard error) is the standard deviation of sample means, therefore the variance of the sum of squared of sample means from the population mean, and the "n" here refers to the number of sample statistics?
Awesome question! You will see t-statistics used in a couple different contexts, but the most frequent one is hypothesis testing. In hypothesis testing for means, you are trying to test a null hypothesis to see whether your population mean is equal to some value. You don't actually have the true population mean. Instead, you will use this proposed value in the formula as your population mean, mu, and essentially see how it compares to the mean you collect from a sample, x-bar, (taking into the sample standard deviation and sample size). The resulting t-statistic will ultimately be a measure of how far away your sample mean is from the proposed population mean (from the null hypothesis) and how confident you can be that the true population mean is different than that proposed value. Let us know if you have any other questions!
I can not believe that you really explained it so clearly in a 4min video. Kudos, my friend.
Thank you so much for this amazing feedback. I sincerely appreciate you saying this
I agree, you really put it into real terms as to what we are doing in the big picture.
@@sherrymilligan-turner2999 I'm really glad you think so! :)
Here 2 hours before my exam, wish me luck everyone this is a big one 😅
same 😭
Howd it go?
Real
same😢
me too😭😭
Your ability to condense yet still pull apart such complex topics is a true talent!
I checked your stats playlist... I would love to see a follow-up going from here into probability testing in normal samples! T-statistic to T-test would be a nice transition 😊
I'll be honest with you, my professor simply stated you used the Z-Stats when the mean is unknown and t-Stats when the mean is known. That's all he said!! I've been searching for hours to find the real difference until I came across this video. Thank you again!
This is the most understable video on this topic RUclips wide
I’m a psychology student and failed statistics 1 once, passed next semester and then failed statistics 2 so I’m taking it this semester. It’s not that I’m bad at it but they just make it so dreadful. So glad I found this channel, I’m refreshing my memory from previous year and learning new stuff. Best of luck in everything and thank you!
I'm a psych student too and I'm struggling in my first statistics class rn. They move so fast and it's so much information!
@@inesz.3500 exactly 🥲 good luck!
I'm a business administration student and I'm currently having this feeling that I might fail. So I'm here to study hard to not fail this subject 😢😢😢
Probably best 4 minutes statistics class ever!
Taking a data analytics class and they're going really quickly over the statistics. This helped a ton. THANK YOU!!!
You are so very welcome! I'm glad we could help you out!
that ending statement hitting home... Thank you for the words of encouragement and the very helpful video!
You are beyond welcome! Thank you for watching! :)
This is the first time in my entire life that I got to understand this concept. Before now, I just apply it without knowing what exactly it is about. lol quite embarassing for someone with about a decade of engineering experience and engineering postgraduate degrees.
Thank you for making it so intuitive. This video is the best CPD I have done this year.
Love that last line! You have big dreams dont let a class get in the way!
It is true! I hope we were able to help you succeed in your classes and make it one step closer to achieving your dreams!
dude i was trying to get this concept for a few months now, my mid is in a week and omg this saved me! Thank you so so much!!
My man really simplified that so well. Thank you.
My masters stat teacher is so bad at teaching. The more he talks the more confusing he makes us. Honestly, the undergrad teacher was better at explaining it than him. I wish she taught it.
Also, that ending statement was comforting. I hate how a hard class (feels like it) can determine your future. That was reassuring.
I am so glad you found our content so helpful. It's stories like yours that keep us going. Thank you so much for your support.
dont let a class get in the way ! i love it
Shakespeare way Thanks: Much thanks do I owe thee, for thy generous and noble deeds in elucidating the complexities of statistics. Thou art truly worthy of all praise for surpassing my professor's clarity. 🙏
Hahah this comment is amazing! Thank you so much for the creative support!!
2:08 I dont understand in what scenario I would not know the population standard deviation when I know the population mean. Could someone explain this to me please?
You don't. What you have to do is assume the mean population. Since you have the other parameters you can sa for example, let's assume the mean population is "2", then you fill the rest of the formula and you are going to get the cumulative probability of that happening in the population. In summary, your mean population serves as an "X" that you can replace to see what's the most likely value, or better, the most likely interval.
Here the night before the exam.
Bruh, it was not too much information. In fact, It was all the information I needed to make everything click. Liked and subscribed as my way to say thank you.
Thank you so much for your support and kind words!
Since you have to get the population mean in both and that can be difficult in many cases, I don't see how the t stat as any more valuable. You have the population mean in either z or t stat, getting the population SD is trivial. t stat would make more sense if you didn't have to have the population mean.
This is the only video I could find that made sense to me. Thank you, very much.
That is so great to hear! Thanks for watching!
thank you so much for the clear explanation! i have a final test this morning and this video saved me last minutes!
BRILLIANT! SO EASY TO UNDERSTAND IT NOW. I HAVE INTUITIVE UNDERSTANDING OF THIS NOW. THANK YOU!
best explanation i've ever seen. most helpful video on youtube.
tbh your video and other RUclips tutorials of hardly 5 minutes are way better than a professor teaching for 1.5 hr.
Your are blessing especially to me and others, may God bless you ❤
Thank you so much for those kind words! And the same to you!
Thanks so much mate. Super clear and well explained video.
Thank you, Will, for watching!
Very helpful. I watched many videos before hitting this which was the best Alhamdulleah
Thank you so much for your comment and support!
Thank you for explaining the difference between z-score and z-statistics. I've been wondering about that so much! I have a question: you said it's unlikely that we know the population's standard deviation. But how would we know what the mu is then which is the population mean?
Thank you! Nice and simple 😊❤ also love the end quote
please post a video on how to solve problems using Z and T statistics
Amazing! Thank you so much!
WOW! Just WOW ! This was awesome! Thank you
exactly what I needed! thank you.
Perfect, thank you so much. Subscribed after hearing the sign off note!
Thank you so much for your support! It's definitely something I believe and know some students can lose sight of when struggling with a class!
Excellent video to explain the difference!
Thank you so much for your positive words!
In z-statistic sample meam is rundom an mi (population mean) is knowm, but in t-statisic sample mean is known and mi (population mean) is rundom value.
Good explanation, thanks
Thank you!! I needed this!!
Thank you for watching!
Thank You for the video! You should make an entire playlist completely decicated to Stats and more of your knowledge. This is one of the finest explanations
You explained it so well! You could maybe add examples next time. That will make the concept clearer
Great idea! We'll make some example videos in the future!
Love you! I appreciate your channel so much
We love you too! Thanks for watching!
very educative and interesting
Great explanation
Very helpful. Thanks!
thank you so much for clearing my all doubts
You are so welcome! Thanks for watching!
My ap stats exam is tomorrow I'm gonna try not to cry cause you made it a bit easier
Hahah, well I'm glad we were able to make it a little bit easier! I hope it went well! :)
Very clear explanation
This one is god sent ❤
Hahah I'm glad you found it helpful! Thanks for the support!
super clear, and that motivation at the end of the video just made my day! thank you!
That was extremely helpful. Thank you!
thanks for giving us a glimpse to a bigger picture.
You're welcome! I'm glad you found it helpful
Great video
Thank you. Instant subscribe! I love the quote at the end.
Thank you so much! It is everything we are founded on! I'm glad you find inspiration in it
great video explain concept in a few minutes. 👍👍👍👍
Thank you so much for your early clarification!
OBRIGADO!!! ESTAVA MESMO A PRECISAR DESTE VIDEO!
De nada! Obrigado por assistir! :)
extremely simple and helpful, thank u
That's what we aim for! Thank you for watching!
Thank you so much for this video. I watched several other videos and read so many examples that did not help me comprehend this concept at all. I was trying to get an understanding of the z-score and t- statistic but I received so much more from this video. Remembering various formulas is difficult for me but actually understanding a concept allows me to make meaningful connections amongst criteria. Thanks again! I can finally move to my next problem phewwwwwww!
Thank you so much for sharing your story! It's is stories like this that keep me going! I'm so happy that we were able to help!!! :)
I like how well explained is...thanks!
very well explained, thanks
You are very welcome! Thanks for your comment!
However, for n bigger than 30, whenever pop SD is unknown, it is recommended to use the z-table and not the t-table (according to Google). Can you explain or refute that?
Great. How do I know if the questions asking me to do one of them? Z and t questions always look the same but always need the different formulas
perfectly explained 🎉
Thanks very much, this did help alot. Buh what frequency table app can you recommend sir
This video was really helpful. Thank you for breaking it down nice and SIMPLE for us :)
That's great to hear! Thanks for watching!
This is great. Thank you.
thank you for the explanation
Thank you for helping out
You are very welcome! Thanks for watching!
Very useful videos, thanks a lot
I'm glad we were able to help! Thanks for watching and thanks for the support!
You are a genius!
Okay I won’t let a class get in my way 🥹
given population mean ,poulation deviation, sample mean and the sample size is less than thirty
z=x-m/o/squareroot of n-1
I have a question if population standard deviation and sample standard deviation both are given then what to do ? what to take z score or t score please reply i have exam in 2 days. really appreciate your work.
I recognize this is pretty late, but if they give the population standard deviation, I would recommend using z's
You made nit super easy! Thanks
You are so welcome! Thanks for watching!
Valuable, Thanks
If n is greater that 30 and population standard deviation is unknown then can we use z statistic?
Great question! When n is greater than 30, it is often a fair assumption to be able to use the normal distribution, AKA the Z-statistic
Thank you. that was helpful :)
You are welcome! Thanks for watching!
Thank You
You are welcome!
Can these be done in NON parametric tests
Can these be done in non normally distributed data?
can we interpret those probabilities of the normal distribution using the empirical rule like for exemple if we get a probability equal to 97.83%, we fo a approximation?? i hope you answer this plz!
Thanks man!
i have been going through class notes for finals (like its literally entire month away when 15th week ended) and i rather confused with this two, and with difference between Z Score and Z Statistics, but not anymore... thanks a lot. so from my understanding T Statistics aproach Z statistics as N aproaches to infintiy right?
THANK YOU!
What if sample size is large but population standard deviation is not known?
Saved again!
Haha thank you for your feedback!
What about the population mean mu ? How do we know it's value ?
Thanks 👍 how are yt videos on stats better than any lecture 😭
I'm so glad we were able to help! The best part is they're free ;)
Thank you!
Amazing thank you
kudos ! thank youuuu
it was very helpful
Thanks so much for watching! I'm glad you found it helpful!
If you have the population mean, then can't you find the population standard deviation. The t-statistic uses the population mean but sample standard deviation If we can compute the population mean, then can't we compute the population standard deviation?
THANK YOU
dont let a class get in the way✨
Thankss!
But I wonder if there is really a difference between Z score and Z statistics?
I'm confused about when the √n is used and when is not, as Z score and Z statistics are generally considered the same thing as what I can find on Google😢
Great question Sean! It may be helpful to think of them as pretty much the same thing at the end of the day. The formula that I give for z-statistics is the truest form of the equation. The z-score equation is the same thing without the square root of n. That is because it is used to find the z score for a single value within a sample. Since it is a single value, n is equal to 1 which is why it disappears in that formula.
@@AceTutors1 Thank you so much!!
@@Sean-es9zc You are so welcome Sean!
@@AceTutors1 Thank you so much for answering my query 3 months ago! As I look into where the √n comes from through mathematical derivation, I noticed that it is from the number of values taken into account to calculate variance, so when we take the square root of σ2, we will get the √n in the denominator. As I look into your video again, and fit it into the context of Z-score/statistic as explained by you, the Z-statistic with the denominator of √n is used to find 1 sample mean from a population, I reckon my understanding might be correct and would like to hear your thoughts to see if you would validate the following deductive reasoning: Does it make sense to say that the denominator in Z-statistic (Standard error) is the standard deviation of sample means, therefore the variance of the sum of squared of sample means from the population mean, and the "n" here refers to the number of sample statistics?
Thank you. Nicely and clearly explained. So simple but other tutorials don’t present it like you did.
Thank you so much for your kind words and positive feedback! :)
Perfect!
Thank you!
what i can only say is thank you
Wonderful
Thank you! :)
But how do you have the population mean?
Awesome question! You will see t-statistics used in a couple different contexts, but the most frequent one is hypothesis testing. In hypothesis testing for means, you are trying to test a null hypothesis to see whether your population mean is equal to some value. You don't actually have the true population mean. Instead, you will use this proposed value in the formula as your population mean, mu, and essentially see how it compares to the mean you collect from a sample, x-bar, (taking into the sample standard deviation and sample size). The resulting t-statistic will ultimately be a measure of how far away your sample mean is from the proposed population mean (from the null hypothesis) and how confident you can be that the true population mean is different than that proposed value. Let us know if you have any other questions!