95% Confidence Interval

How to calculate the 95% confidence interval and what it means.
Watch my new 95% Confidence Interval video:
• 95% Confidence Interval

[@MattDearing]

You explained in 9 minutes what my professor attempted to explain in 50. Thanks for the video, very helpful.

[@jessicapeach3503]

same! thank you SO MUCH

[@hummttydoo6053]

Hope your prof doesn't see your comment 😂😂

[@sneakyrifle5031]

@@hummttydoo6053 been 5 years they don't care anymore XD

[@polishhammer1992]

To answer everyone's question about the 1.96. If you go to a Z table and go to 1.96. The percentage is .975. Because the distribution graph is two tailed meaning there is a chunk of area filled in at BOTH ends of the bell curve we multiply the .025 difference by 2 to get 5% 100-5% is equal to 95%. Long Story short. The 1.96 is a z score for 95%

[@KeitaroTime]

Thank you. Besides the teacher not explaining that this was a great tutorial. However missing that part in the explanation is big and WILL confuse people.

[@pumaroyillty]

how do you know that 95% is 1.96? is there a rule or something telling us that 95%=1.96 on the CI?

[@awindaphilip]

Ryan Butuyan You have to check the z table!

[@betinaaksoz6246]

seriously thank you

[@seanlinehan8478]

Thanks lad!

[@MrWafflesOfficial]

I think you just saved my life. I have a stats exam tomorrow and this is exactly the kind of explanation i needed! Thank you!!

[@Vickyboo27]

After so many other KZbin videos, I finally understood it because of the way you explained it with no difficulties. Thank you!!

[@dontebuchanan828]

the 1.96 is the critical value of 95%. kind of like the 68-95-99.7 rule it goes if it was asking for say 90% this time it would be 1.645 90%-1.645 95%-1.960 99%-2.576 the percent is your confidence and the number following is the critical value or z* of your confidence. correct me or explain it better if I am wrong (I'm just learning this in my stats class) but thats to my best understanding!!!

[@JAFFER3657]

+Donte Buchanan you are right but for those who can't understand or have problem in finding z score can just memorize these 3 intervals 90%,95% and 99% the exam problem will surely be based on these three intervals

[@huntersikari]

+Jaffer Zaidi Hi Can you please tell what's up with 90 % and 99 % ?How do we calculate this one?

[@lauralundberg5149]

Thank you for posting this! It's helping me study for my stats test better than my notes or textbook can.

[@kateulveling5121]

This was so helpful and easily explained! Thank you!

[@Alkahlout]

Explanation behind 1.96: The z chart(google it if you dont know what it is) has 1.96= .975. In a bell curve graph, there are two areas that need to be accounted for. These areas are called the critical region. The critical region begins at a certain point on the graph where it would not agree with the 95% confidence level. Since the population or sample mean is ALWAYS labelled on a bell graph as 1, So you subtract 1-.975= 0.025. Since the bell graph displays the mean at the center of the graph(which is 1), its going to stem off into two different directions, and you are going to be left with two numbers that will be equal to or less than a percentage that would make the confidence interval less than 95%. So when you get 0.025, you multiply it by 2 to get 0.05 or 5%. The reason he didn't explain himself is because hes probably at a level in math where that number isnt explained anymore and is taken for granted. I am watching this video to try and understand stats a little better, so bear with me if I left out any information related to the discovery of 1.96.

[@Pimpin0225]

you my friend get a thumbs up, i kept getting lost on the math break down you made it nice and simple!

[@shawn199500]

This video is great, what a simple explanation all in under 9 minutes! Fantastic Thank you!

[@heraNbUdDHikA]

Loud and clear.Thank you.

[@dylanmerema7121]

this is ten years old to the day but was exactly what i needed. thank you

[@Yassin-Ghassan-Taha]

Thank you for this useful explanation...

[@mathwithmrbarnes]

Hey Everyone! Check out my new 95% Confidence Interval Video: kzbin.info/www/bejne/p6bIkIywrN-kfdE

[@stevelee897]

idk why i was expecting a rick roll but thx

[@joekickass52]

Youre a real hero. I have an exam in 10 hours and have been stressed and trying to understand it all day. Thank you

[@mathwithmrbarnes]

+joekickass52 hope your exam went well! This is why I love making videos. I made this and posted it in 20 minutes and a lot of people have used it. Great stuff!

[@bustaj.]

Thank you! Clear and concise

[@bridgettwiley-davis970]

You've given me Hope that I didn't have! Thank you so much🎊🎊🎉

[@KaitlynxBabe]

helping me in 2018! thanks mr. barnes! ur funny and super informative! im gonna ace my exam!!!

[@jonathancomputer]

Thanks. This was a big help!

[@justionuble]

Thanks for showing me the simple step I missed!

[@kekeke4077]

Thanks for the video! Im struggling to find some videos like this because I cant follow what my teacher taught me. Happy to find your vid. Thanks! Edit: Oh my God! After watching this vid I try what you taught me and it work!!! Thank you so much! You save me for not having 0 on my test tomorrow! Thankssss!!!!

[@davia1013able]

Thanks so much! Really appreciate this video

[@mathwithmrbarnes]

+davia1013able thanks for watching! Best of luck in your studies!

[@Mona-ue5uk]

Thank you thank you! Very well explained. Thanks for teaching it at a novice level. I definitely don't want become a staticitican. Just want to comphrend it.

[@mathwithmrbarnes]

+Desmona Strahan Thanks! Keep working hard!

[@noelginez4358]

Babae

[@faceofheartfailure]

This is a great help

[@davida6146]

if the sample size is less than 30, you can use a t-table to approximate the CI

[@aksbhavsar52]

Thumbs up for you buddy You work hard with mouse 😅 But it worth a lot for us Thanks man Keep it up

[@newinfo77]

Thank you for this tutorial. I was struggling with this until I found your page.

[@noelginez4358]

Zeely Stewart 至太克里特島國際小姐持負面

[@justinguan2307]

That recording popout is covering some numbers, it gets kind of frustrating, but you explained it okay enough for me to get the gist of it.

[@huntersikari]

What to do if a question ask 90 % C I or 95 % C I , please help , thank you !

[@adriansaenz1817]

amazing help thanks man

[@letsgotomars3702]

This is very Helpful Thanks sir, you save my life :D

[@alainamiller1563]

thank you thank you thank you mr barnes, I understand now

[@steenharsted]

Thank you for this explanation. Its very helpfull, but can I ask a question? What extra information did you get from calculating the 95%CI - wasnt it obvious that from looking at the 57000 hours and a standard deviation of 1200 hours that the claim from the company was not supported?

[@elizabethvasquez1024]

That was cool,do another one

[@aleemzaman5280]

cheers man really helped

[@XDrSchnugglesx]

You're my hero

[@mathwithmrbarnes]

@iVerbalMurder 95% of the area under the normal curve lies within about 1.96 standard deviations of the mean.

[@princessdiana1366]

Thank you sooooo much.

[@maisamabbaskarimi5130]

how we can find the number of measurement in any given class interval at95%

[@Epsilon1247]

Thank you so much!

[@mathwithmrbarnes]

+Josiah Nelson Thanks

[@athena9357]

Thank you sir!!!

[@straightjalabi]

Mr. Burns? .... Excellent...

[@luthonduvane5644]

can you help with the following problem:Assume that the annual return (in %) of a certain asset is normally distributed, with a known standard deviation of 5.3%. When a sample of 15 such returns is collected the sample standard deviation is found to be 5.5% and the mean return was found to be 11.2%. Construct a 98% confidence interval for the mean annual return of the asset

[@ZeenatZakiya]

wwwoooo!! thnqq soo much..Finally i understand this :)

[@heraNbUdDHikA]

how to find 1.96 in table??

[@heraNbUdDHikA]

***** Thanks to you. I passed this subject in my university.

[@thatDamnAusWhoFan]

+Nour Alawad Yes, thats what it says in my textbook as well, but HOW exactly do you get 1.96. I just want to know so I can figure it out for other percentages

[@cheyannehatley9852]

+Shane Thompson There is a chart, usually. If not you can look one up.

[@josephineenoch6655]

Sir, Where does the 1.96 came from?

[@Rscapeextreme447]

where does 1.96 come from?

[@angelinec.f.2832]

Question about 95 confidence interval formula? -20 to 0 °C = Accuracy 2.5 °C 0 to 500 °C =1.8 °C 500 to 1750 °C = Accuracy 1.4 °C According to what I read the uncertainty of the standard would be the resolution is true? If I have 3 readings taken with the standard: 1000, 1500 and 2000 degrees farenheit and the resolution of the standard is 1 °F What would be the steps to do the math calculation and get the uncertainty?

[@gluv2008]

thank you sooo much!!!!

[@adamdasilva1132]

dude the virtual ti83 is sick. can you teach me how to do that?

[@shhshh8917]

Thanks for the video ... very helpful. But bruh ... the way you was saying X bar had me dyyyyinggggg lmaoooo

[@shanewalsh362]

For the confidence level is it not N-1?

[@roseytb4092]

Hi I don't understand how to find ic 95 in this kind of exercise. could you help me? In the article, the difference in 28-day mortality between the Lopinavir / Ritonavir group and the Standard Care group was -5.8%. Mortality was rated as similar in both groups. Among the following fictitious results, which one or which will lead us to conclude that the mortality between the two groups is similar? (The 95% confidence interval is given in square brackets) Result A: Mortality difference: -16% [ -30%; -2%] Result B: Mortality difference: -5.8% [-11%; -0.6%] Result C: Mortality difference: -2% [-17%; 13%] Result D: Mortality difference: -0.5% [-3%; 2%].

[@jahidhasanashik934]

isnt it necessary to know whether the distribution is one tailed or two tailed?

[@bugra257fb]

I did not understand why we used standard deviation sigma instead of sample std dev s, did not we use the data from the sample? If anyone explains, life will be easier for me

[@andrewhales9771]

Thank You!

[@_candicescreations]

Thank you!

[@kelliepebbles2608]

Where did the 1.96 come from?

[@crackmalta]

For those who are asking about the 1.96. To explain it as best I can, you need to draw a normal distribution curve. Now the area under that curve is 100% but here we have the confidence interval of 95%. 100-95 = 0.05 (take it in decimal form). Divide 0.05 by 2 to distribute it evenly on both result being 0.25. 0.5 - 0.025 =0.475. From your Table you will find that 0.475 = 1.96. Sorry if this explanation wasn't mathematical, i have a hard time with this subject as it is xD

[@leeyan4950]

actually...how to use z table?

[@Nosheen110]

how do u calculate confidence interval for a batch of means

[@jjhollier]

Confidence level of .95/2 = .4750 the corresponding z value is 1.96

[@asharyaable]

you are so smart.... everyone else is commenting utter bs. *high five*

[@tomthetitan101]

thank u bro

[@Maps4346]

Thanks . You read my mind

[@hejiahan7095]

Mr. Burn?..... excellent

[@user-nz3hz2og9k]

thank you

[@Joske369]

i don't understand why sometimes n is replaced by n-1, it has something to do with the degrees of freedom but when do you have to do that?

[@latesq1]

Is a 99% confidence level a more rigorous estimate of where a parameter is, than a 95%confidence level? Explain

[@farzanapia7640]

how did you get 1.96?

[@idkweirdchic4960]

You sir are seriously a god. I happen to have a very good math teacher, but this shes terrible at explaining!!!! You have saved me so much time and effort

[@mathwithmrbarnes]

idk weirdchic Glad I could help!

[@MarcKiringai]

***** how did you get 1.96?

[@FrankenBerry_BSC]

youtube tutors are so helpful. When I was doing my undergrad I spent hours and was clueless, now I take 5-10min and understand perfectly

[@TheeExpendables]

I done this step and the second question for me is.. Find the probability that a titration has a value greater than 8.13ml. It was done 9 times, my final answer was (7.91,8.43), mean = 8.17ml and the standard deviation = 0.04ml. Can anyone help me? Thanks.

[@zohaa.3798]

Please please can you make a quick video to find the z score of 98% significance level. It will be much appreciated.

[@tsheringgurung4077]

This steps are one of the longest step in finding the confidence interval. Simply use the formula, finding the z value i.e 1.96 . x-E

[@jeremybranson6157]

How did you find the value of t?

[@ramirez2378]

thank you so much now I know the correct answer to the question I got wrong in my quiz

[@mathwithmrbarnes]

@gadalaavinash The TI- Simulator is called WabbitEmu. Search WabbitEmu in google and you can find it. I use smart notebook for my recording. There is a built in feature called smart recorder. It is very easy to use. You can download a trial version. Search Smart Notebook download in google. I tried to post the links but it wouldn;t let me. Good luck.

[@kayrahb2730]

help me please!!! A sample of 43 students from the agriculture faculty take a Scholastic Aptitude Test the sample has a mean of 520 and a standard deviation of 8. Construct a 95% confidence interval that contains the true population parameter.

[@ritizranjan4318]

How you bring 1.96

[@malakrabhi1706]

THANKS A LOT

[@natalielakey9700]

Why is the MOE 333 and 330?

[@MrStarhands]

I still don't understand how to work out the Ta/2 formula?

[@dororo9983]

thanks a lot.

[@Ambreen2109]

hello, can you please help me, i can't find the 0.475 in my table :( please help i got exams in some days.

[@lorenzoceresa99]

In my stats manual = "Perhaps the most common mistake is:" A 95% CI has a 95% probability of holding the true but unknown population parameter of interest" The term "confidence" does not refer to a single confidence interval, but to all confidence intervals that can be constructed from the same population, using the same calculation procedure. If you would calculate a mean and 95% CI for each sample, then 95% of those CIs would contain the true but unknown population mean."

[@Neff90336]

I don’t get the moe 355, how did he get that?

[@marisaperson4592]

Awesome!

[@evansmutalala5039]

Well explained

[@theskeptic8489]

Where is the 1.96 coming from

[@AlchemistxBankai]

Thanks!

[@Chris_living]

Nice video.

[@mckenzyjohnson589]

thank you, this saved my life for my math final!

[@mathwithmrbarnes]

+McKenzy Johnson awesome! Good luck :-)

[@eleongo]

but what i see from t-table is from n=40 skipped to n=60 without showing n=40

[@cristianaguirre2934]

how did you get 1.96? Help please

[@dimaal8477]

Bless you.

[@silverbullet831]

why do you use 1.96 if we know our degres of freedom? wouldnt we look that up and see that use like 2.004 since df is 49? this statistic shit is so all over the place

[@sewukk3221]

cant agree more

[@s.4240]

Shouldn't the mean be both plus and minus the same value? Why do we have 330 and 333, shouldn't they be both the same as we used the same formula?

[@TrynFail247]

If you waited 10 seconds he fixes that mistake. it was a typo. He said he was tired lol.

[@Mona-ue5uk]

How to you use the ti 30Xa calculator

[@mathwithmrbarnes]

Not sure...never used one! Can anyone help?

[@LCProductionz313]

how did you get 333?

[@Kaskuseer]

wtf this is do helpful! thks

[@xane1990]

learnt something after 3months of just going to class and having no idea what was happening

[@maxmaccarthy1546]

Well, this was super helpful. Looks like I'm not failing my statistics test.

[@mathwithmrbarnes]

You are welcome!