Student's T Distribution - Confidence Intervals & Margin of Error
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- Опубликовано: 29 сен 2024
- This statistics video tutorial provides a basic introduction into the student's t-distribution. It explains how to construct confidence intervals around a population mean using the student's t-distribution as well as calculating the margin of error or error bound of the mean. It's a good indication to use the t-distribution as opposed to the normal distribution when the sample size is less than 30 and when you're given the sample standard deviation instead of the population standard deviation.
Introduction to Statistics:
• Introduction to Statis...
Introduction to Probability:
• Introduction to Probab...
Central Limit Theorem:
• Central Limit Theorem ...
Standard Error of The Mean:
• Standard Error of the ...
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Confidence Intervals & Margin of Error:
• How To Find The Z Scor...
Find The Z-Score Given Confidence Interval:
• How To Find The Z Scor...
How To Calculate The Sample Size:
• How To Calculate The S...
Student's T-Distribution:
• Student's T Distributi...
Confidence Interval-Population Proportion:
• Finding The Confidence...
Chebyshev's Theorem:
• Chebyshev's Theorem
_____________________________________
Hypothesis Testing - Null & Alternative:
• Hypothesis Testing - N...
Type I and Type II Errors:
• How To Identify Type I...
One Tailed and Two Tailed Tests:
• One Tailed and Two Tai...
Test Static For Means & Pop Proportions:
• Test Statistic For Mea...
Hypothesis Testing Problems:
• Hypothesis Testing Pro...
____________________________________
Final Exams and Video Playlists:
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Full-Length Videos and Worksheets:
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Who else is watching this at 2:00 am night before the exam?
11am 1hr before the exam
01h17.
Naneun
watching this 20 mins before the test
Watching this during the exam
you are a freaking genius !!! you explained in 17 minutes the topic that my professor can not explain in 2 hours. Thanks a lot !!
my professor just said (used mini tab)
You're right
Maybe you should pay attention in class then
EBM = error bound for the mean. Just for those who do not know or remeber.
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I calc numerous times. How did you get s=11.709?? I used your method and my number everytime was much larger than that
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When you divide alpha in 2, isn't that a two tailed test? Why do you say that this is a one tailed test?
You're right, if you overlook that error it works out
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No man, two tail test is basically for hypothesis testing when we assume that the man is not equal to any value i.e., it can be less, or more
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Thank you so much> >>> i was literally crying cos I didn't understand T-distribution. Thank you so much for doing such a great job
Wow! Just wow! You explained this very well. You broke it down and explained the fundamentals, which increased my understanding of this subject so much. You did this all in 17 minutes while my professor just talks too much about theorems in an hour and 15 minutes and doesn't go over example problems too often. You are the best.
Wow thank you. The standard deviation formula part is what helped me the most which I couldn't search on my textbook or anywhere else lol. Thank you very much!
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I salute to you buddy. The way you linked the concepts was literally amazing.
Eg: You stated in your previous video that according to CLT if normal distribution, and iff n>=30, there will be a good approximation of the sampling distribution to the normal distribution. And now how you stated then if the n
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Pls solve this for me
In a random sampling of 600 students selected in a school, It was observed that 420 have a fan in their hostels. Construct a confidence interval at 95% for the entire students that does not own a fan
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How do I know when I'm supposed to use one tail alpha or 2 tail alpha?
I think 2 tailed is for when your alternate hypothesis uses "≠" and 1 tail is when your alternate hypothesis is specifically > or
simple and straight forward explanation!!! You elaborate everything so perfectly!! THANK YOU
I reckon we can still use t-distribution even if n>30 and population standard deviation is not given.
Hi kindly help me with the null hypothesis of this Given that an average IQ of adult population in an area was 100. Five adults were
then randomly selected and tested. The test scores were; 69, 79, 89, 99, 109 with
standard deviation of 15.81.
Is there a strong reason to believe that the mean IQ scores lies below 100.
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We have negative value here if we do not subtract 1-a/2. Why would we take positive value from table ?
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I have a question at 05:47. Is it alpha / 2? Or just alpha?
If I'm not mistaken, it's alpha. Am I wrong?
Why did you use 0.05 as ur @/2 value instead of 0.025 in the second Question?
it's very interesting for everyone who wants to add value to the t-value and z-value both are really confusing.
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How should I know whether I should use one tail or two tail test? This is the only thing I don't get...
Okay, so the 90% confidence interval is (73.2 , 86.8) for ten students, but only 4 of them are inside: 76, 84, 85, 77 that's 40%, Whereas 30%: 58, 69, 73 are below and 30%: 89, 92, 97 are above instead of 5-5%. There is something fundamentally wrong here... (solution: The distribution assumption is flawed.)
The standard deviation is wrong. it should be 82
What if your degree of freedom is a decimal? What do you do by then?
How can we decide to use whether alpha or alpha/2 ?
Great explanation. How would I find the p-value?
thank u for ur videos, 1 quick question, if u r using alpha/2 for significance level, shouldn't u be using two tailed significance level (error) at t-distribution table, but u r using one tailed, why? for example on ur last example a/2=0.05 and t-value should have been 2.262 but u used 1.833, please explain asap because we have exam, and also a/2 is for two tailed distribution why r u using a/2 for one tailed distro. thank u, much appreciate ur dedication and word, GOD bless u
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what is n
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Is it correct to say that regardless if the test to be employed is a 1-or 2-tailed test, the EBM will always employ alpha/2 in determining the value to be located on the t-table?
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For the chem class ex... you calculated the sd for population and not the sample of 10 ... ?
Our teacher used population variance and t distribution how will i solve the point estimate of u (meu)?
you have vast knowledge about mathematics and this exercise is very valuable.
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so, what if n
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This video is really enlightening
isnt
alpha divided by two a two tail
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Someone knows what is the formula to make the student's distribution?
This videos is helpful for my exam preparation. Thanks
Am greatful for the lesson
Why do we use n-1 while finding the standard deviation???
I know you have passed your degree, but replying for those who will have the same question, when we are dealing with sample, we take 'n', and when dealing with population, we take (n-1), here the whole class is of 10 students, and we are dealing them, so this is population, if we take a sample of 4 students from whole class of 10, it'll be sample.
Awesome sauce. You just cleared up a few mental road blocks.
could you help me in my homework??
How do we know when it is a 1 tail or 2 tail test???? What is there to indicate that this is a 2 tail test??
Why do you always used one tailed?
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the one-tailed alpha is alpha/2 ?
at 11:00 is there any easier way to do it for a bigger set of data instead of doing one by one
No, you'll need a calculator tho
sir the t table i have is quite different from the one you are using and because of this our t values are totally different .how is this the case
for me the t value for discrete valued question 'the second one' is 14.684
error bound mean (EBM).
can you keep the t distribution table and by the way nice explaination
How to calculate sample size
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What if the only given is the confidence interval and sample mean but they are asking for the value of t?
it was negative from the second problem
Hi there! I would like to know what graphic tablet and what software do you use to create that course. since i need to get one. thanks in advance.
Blender
And unreal engine
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Thank you so much. You explained well
I have a question professor, where does the values in z score came from?
Thank you
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Why not 1-a/2
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Well explained...Thankyou😍
Is the interval an open or closed range?
Hey mate, I've got a question: In the ''C'' section of the 2nd example, why we aren't using [values corresponding to z=(.95), from there we can use mean and the standart deviation values (which we already know) to find the values we need.] Is it because in this examples; the graph, isn't standart norman distribution.
@8:00 you making confidence interval with 97.5% of confidence and not at 95%.
if you are taking 1 one tail alpha, then confidence level is also 1 tail. And 1 tail alpha 0.025 correspond to 97.5% one tail confidence.
Please correct me if i am wrong.
Do you know if he was correct about this?