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Video Transcript

Hello. Welcome to this lesson. This lesson. We are looking for the next 5% confidence interval for the population mean. So what we'll do is that we would need you would need the mean and the standard attribution. To get this done. The first thing that I will do is I'll find the mean of this data, finding the mean. I'll take this out all the values and there's some I was divided by the number of items that we have. Mm hmm. Yeah, I hear you're having a mean of 89.0625 here we would now that we have the means you have the me Which is of course to 39.0625 would need a standard deviation which is equal to the square roots of the some X minus mm The mean squared all of God And -1. Alright, so this one. Mhm. Okay. Mm hmm. I would actually need to subtract the mean from all these values. Then we square that this is what we do. Now we have the 82. I missed the me. So this is the value of the me. I would want to restrict this so that does I moved. It would not change anything in there. Yeah. Right now I have to occupy again. Okay. Mhm. All right, okay. So here I can move through so that it fills the others for me. So what I need is I need a standard attribution. Okay. Yeah. And this should be cost you the this per week off the sun some form Yes. Okay. And here I'm frightened by the account. So 1 -1. Count's B two To be 17. Today I see the number minus one hmm clues square roots. So here I'm having these .434 as my standard deviation. So now that I have me the standard distribution, I can't find that 95% confidence interval. So here I have the confidence level. Let me drink all the response here. Okay. 39.0625 Confidence level was 95%. That gives a disease or a phone too. That's 1.96. Okay. And I have a standard distribution of 8.434. All right. So this is what I would do. Now the the population mean would be between the lower limits and the upper limits. And now the lower limits here would be giving us the means minus the error. And that parliament is the main cluster error. So let's find the error. The arrow is of course to disease core times the standard deviation All over this courage of here we are looking at 16 bodies. Right? So the error would be called to 1.96 times external attribution should found us. 8.434. So 8.4 34 Divided by Square Root of 16. So here we have the arrow, 1.96 Times 8.4 34. Then be guided by Spirit of 16 is four. So now the error is 4.1 three. It's a very all right, Okay. And now we have the lower limit which is of course to the mean minus the error. So here we have the mean, which is The mill just 39 Which is 39.0625. So 39 points 0625 -4.133. After we are done converted to only one small place. So four points 1 33. So supposed to be 34.92 95. But So you just said this marked police would have 34 .9. That's the lower limit. And now the upper limit, the upper limit would have the mean last the error. So with this one too, we have 39.0625 Plus 4.133. And if you do that right? Mm hmm. We have 2. 1. That's my place. 43 points 43.2. Mm hmm. Right. So this is the lower limit. Okay. And this is the upper limit transfer time. This is the end of the lesson

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