Confidence Interval for Mean with Example | Statistics Tutorial #10 | MarinStatsLectures

Confidence Interval for Mean with Example: How to construct and interpret a confidence interval in statistics? How to control the margin of error?

In this statistics video lecture we will learn to construct a confidence Interval for mean. Here we will learn all of the relevant details that go along with constructing and interpreting a confidence interval in statistics; Details such as one sided Confidence Interval vs two sided Confidence Intervals, changing the level of confidence, controlling the margin of error, Z value vs t value are all discussed with examples.

We will do this all in the context of building a confidence interval for a mean, although the concepts are transferable to most confidence intervals we will construct. We will focus on the concepts, and not the calculations.

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Our Team:
Content Creator: Mike Marin (B.Sc., MSc.) Senior Instructor at UBC.
Producer and Creative Manager: Ladan Hamadani (B.Sc., BA., MPH)

These videos are created by #marinstatslectures to support some statistics courses at the University of British Columbia (UBC) (#IntroductoryStatistics and #RVideoTutorials ), although we make all videos available to the everyone everywhere for free.

Thanks for watching! Have fun and remember that statistics is almost as beautiful as a unicorn!

#statistics #rprogramming

[germancoma]

The lottery analogy is the best explanation of a C.I. I've ever heard. Thank you for your excellent presentations!

[vivianbarros]

Hey Mike! Thank you for providing us with these high-quality free videos. I am watching all of them.

[woodypham]

Very good teaching skill. You make stat easy to learn

[daegudude]

Your Statistics course is really on point. And along with R videos, it's simply the best. I don't get why your videos not have a lot of views. Thanks a lot :)

[cheettaah]

Thank you Dr. Marine. The videos are awesome.

[suindude]

As the SE propagates with the wrong sample mean hence if we take the Markovian chain in huge manner, we must take the error term dividend the sample size or the effect measure by DOF.

[adnanabro]

That lottery example just made me realize that I should have watched this video a long time ago.

[hemantdhoundiyal]

Great videos, i learnt alot from these videos, keep going..

[diogocunha]

Question: in the last example (One-sided CI), you say at 12'10 that "we're 95% confident that mean BMI for Vancouverites is 27.25 or less". Wouldn't it be "we're 95% confident that mean BMI of Canada (population) is 27.25 or less"?
Or I'm missing something obvious?

Because we already KNOW that the mean of the Vancoucerist is lower than 27.25 (it's 25.2, you give it in the beggining; and it is a necessary value to make the calculation of the CI)
Thanks a lot!

[anandprakash]

Hello Marin,
Once again big thanks for these tutorials, I keep coming back to them for reference.
My question is, t-test gives a very significant p-value (say p< 0.01) but confidence interval does not contain the sample mean. What could it possibly mean or what am I doing wrong?

[prabhavpadotra]

Sir how are the values of Z taken 2 and 2.58. i am confused. Please help.

[mds]

Is no one wondering how he's writing backwards on glass? What is this sorcery?