Confidence Interval for a population mean

Confidence Interval for a population mean - t distribution

Рет қаралды 86,091

Күн бұрын

This video discusses the confidence interval for a population mean using the Student t distribution.
00:00 intro
00:51 the t distribution
01:47 t table
02:22 confidence interval for μ
03:37 example 1 - small n
05:24 example 2 - large n

Пікірлер: 83

@bobu5213 Жыл бұрын

I don't understand why other videos on youtube don't explain every term they use even when they are labeled as "beginner" or "non-technical". You are a great teacher and I want to thank you for giving me such a clear understanding of this in barely 7 minutes.

@joshemman Жыл бұрын

My pleasure, @BoBu. Thanks for dropping a note,.

@robcantrell 2 жыл бұрын

Thank you, this is a clear explanation of the topic. Very helpful and great job!

@ATR2400-2 9 ай бұрын

it seems so simple retrospect. I don't know how I had so much trouble with it. Thanks for the help!

@triptee3449 3 ай бұрын

Thank you so much, this video cleared up all confusion i had regarding this topic. You are an excellent teacher!! Keep it up.

@Petit-crochets 2 жыл бұрын

I have a statistics paper this monday I couldn’t understand wat my lecturer had taught at all but thank God I got this channel…hoping to get it right in the paper thanks so muvh

@joshemman Жыл бұрын

All the best on your paper, Rhoda.

@uzmataskeen7025 8 ай бұрын

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@afrolitious7930 Жыл бұрын

Thank you so much. My lecturers cannot explain anything.

@swapnilpradhan9543 11 ай бұрын

Yes. Teachers are the worst people in the world

@amyblizzwords3650 9 ай бұрын

Seriously they don't

@hytee7159 8 ай бұрын

Thank you very much! I have an exam tomorrow and your videos are so easy to understand. Great teacher!

@user-bo4wi7sd6t Жыл бұрын

The excel formulas you suggested in both videos are priceless.

@joshemman Жыл бұрын

Glad to hear, Ignatius.

@akhileshbajpai765 Жыл бұрын

Soothing voice with, to the point conceptualization makes life easy. Thank you so much

@uzmataskeen7025 8 ай бұрын

agree

@shubhamshah5155 Жыл бұрын

you are awesome buddy thanks for the videos i cant understand a thing my professor teaches!

@alial-qasim2453 8 ай бұрын

Thank you so much you are a savior 🙏🏻

@asamoah-danquahstanislaw2002 Жыл бұрын

You literally saved me. Thanks man 🙃

@jemshussdsbc4775 8 ай бұрын

Realy you are the great lecturer thanks alot.

@Alihaidari911 28 күн бұрын

soo amazingly perfect way of teaching

@Kanikachauhan3 2 ай бұрын

Thank you so much sir It's really helpful

@priyambadapreeti1621 6 ай бұрын

You are great sir ❤❤❤

@salomluvinga8850 Жыл бұрын

Thank you so much again, sir

@agusnoviana 3 ай бұрын

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@joshemman 3 ай бұрын

🙏

@rasikarajapaksha40 2 ай бұрын

Thanks a lot ❤

@davianoinglesias5030 Жыл бұрын

😅you are saving lives out here

@Alihaidari911 28 күн бұрын

thank you so much

@inhdung4521 Жыл бұрын

Where the heck have you been in my life? I literally will have the final test 6 days left, and you showed up just in time and taught me more than anything my lecturer tried to say in 15 weeks :< Sometimes, I hate the wrong timing in the right situation like this. 😕

@uzmataskeen7025 8 ай бұрын

me too man me too

@uzmataskeen7025 8 ай бұрын

i scored 8 marks in a 35 marks test lmfao i really was sucking at stats until i found this channel

@studypurpose7804 4 ай бұрын

WOw, Thank you.

@gentesipam3895 6 ай бұрын

Thanks, can you shade more light on the aspect of t-distribution verse F-distribution while tagging +-30 sample mean.

@Mma_JC 8 ай бұрын

Wonderful... thanks a lot. I totally understand it now😊

@joshemman 8 ай бұрын

You're welcome 😊

@user-fq4ec3zn7e 2 жыл бұрын

This is what l’m looking for , thank you very much ♥️

@joshemman 2 жыл бұрын

You’re welcome 😊

@chinyerechima2728 11 ай бұрын

awesome. excellent clarity

@joshemman 11 ай бұрын

Thanks, Chinyere.

@sameeianaz1223 Жыл бұрын

Wish I had a teacher like this in uni

@uzmataskeen7025 8 ай бұрын

@ali_hussain8772 Ай бұрын

Great sir... Its very helpful We got it easily❤

@joshemman Ай бұрын

Great 👍 Thanks.

@sabrinasaad8381 Жыл бұрын

life made easy!!

@akullupatriciaopido8268 8 ай бұрын

Great

@anurajms Жыл бұрын

@hestiluhsuprobowati8143 2 жыл бұрын

So, regardless sample size, in the event only sample mean is known(and sd sample) we use t-table all the way?

@joshemman 2 жыл бұрын

You have to check with your course. Some people use Z whenever the sample is large.

@laulau4367 9 ай бұрын

His question was my question too. So for the second example you used, if someone used the z-table since the sample size was large, he should get the same answer as you received for that problem?@@joshemman

@joshemman 9 ай бұрын

@@laulau4367 For large sample, the answer will be close for both t and z but not exactly the same. Some courses use z for large samples and some don't.

@laulau4367 9 ай бұрын

Thank you!@@joshemman

@spark-to-a-flame8227 Жыл бұрын

Thank you!

@joshemman Жыл бұрын

You're welcome!

@veerakanneboina8086 7 ай бұрын

But we got two critical vakues one is positive and one is negative, but why only considered positive.

@gentesipam3895 6 ай бұрын

I think, instead of trial and error, use a lower confidence level (

@ChristabelObum 6 ай бұрын

Hii, so when do we use the t distribution and when do we use the z distribution??

@joshemman 6 ай бұрын

I will suggest you follow what your course/textbook says. Some use Z when σ is known. Others use Z whenever n ≥ 30. Some use t when σ is unknown. Others use t whenever n < 30.

@sobahlemaseko9189 Жыл бұрын

Sir im still confused on when to use z ort score

@joshemman Жыл бұрын

You probably haven't watched enough videos. Keep learning. You'll figure it out.

@trumpiden1098 2 жыл бұрын

how i ll understand that i ll use t table or z table :?

@joshemman 2 жыл бұрын

Some say use Z when n ≥ 30 and some say use Z when σ is known. I will suggest you check your notes, textbook, or with your prof to determine which approach applies in your course.

@trumpiden1098 2 жыл бұрын

@@joshemman what does this sigma mean in our notes this is written which you wrote that sigma but I don't know what is it can your explain me? Thank you.

@joshemman 2 жыл бұрын

@@trumpiden1098 Sigma is the population standard deviation. s is used to represent the sample standard deviation.

@trumpiden1098 2 жыл бұрын

@@joshemman yeah but in questions how will I understand which one is it

@joshemman 2 жыл бұрын

@@trumpiden1098 If it does not say "population SD", then it is very llikely "sample SD".

@zunudahal2594 8 ай бұрын

For t distribution the number should be lesss than 30 than in your last question n=85 how t distribution is applied... Plz explain i didn't get that

@joshemman 8 ай бұрын

Yes, most people use t when n is less than 30. However, you can use it for any sample size.

@user-jj7ho9ef3l 9 ай бұрын

@olamidesubair4953 Ай бұрын

When n is greater than 30 ain’t you supposed to use z table???

@joshemman Ай бұрын

Some texts use Z when n > 30, and some don't. If your course says use Z, then do it.

@JAG_158 Ай бұрын

Explain Why it is a TWO TAIL (0.025) and not One Tail (0.05). Much appreciated

@joshemman Ай бұрын

By default a 95% confidence level is located in the middle of the distribution, leaving 0.05 area which is divided equally (.025) into the two tails.

@JAG_158 Ай бұрын

@@joshemmanif i could rephrase, there are a few questions i’ve seen where one tail (a) is used instead of (a/2) such as a below or above average comparison. Could you explain when that is used?

@joshemman Ай бұрын

@@JAG_158 See if this helps: kzfaq.info/get/bejne/f9xhhbSfz7yRYYk.html

@ChifundoMandondo 7 ай бұрын

The margin of error is supposed to be 0.90369 multiply by 2.2140405

@joshemman 7 ай бұрын

Where did you get 2.2140405 from?

@user-wh4ke3rd5u 7 ай бұрын

If n> 30 then we use Z not t test !!

@exemplarypersonality6562 4 ай бұрын

@@joshemmanis it true that we should use the Z distribution when n is larger than 30? I noticed you use t distribution on both cases

@joshemman 4 ай бұрын

@@exemplarypersonality6562 Some books use Z when n ≥ 30 but some use Z only when population standard deviation is known. I will suggest you follow how it is taught in your course.

@ChifundoMandondo 7 ай бұрын

I have found a different margin of error different from yours