Proficient Lab Assignment

Hello, Sylvain. What I wanna do is give you a brief overview of what you have to do for your week seven Lab. So in the week seven lab, the only spreadsheet we're going to really need is your week six spreadsheet. So if you go to Modules and under week six and got the lesson here shall weeks, Week six spreadsheet. I've already downloaded it, so it looks like this. So this is the spreadsheet you should have downloaded for the lab. So I will download that. Another thing that I would download is the week seven Lab. So that looks like this. Now remember these lecture notes are for you to write all over them. Make any little documentation that you would like to help you do your lab. Ok. So in the week seven lab, you're, the only spreadsheet you need is the week six spreadsheet, but you do need your week five lab data. So go ahead and take a moment to pull that. That should be the ten heights that your instructor gave you and then the ten heights that you gathered. Ok. So to get, I talk about how to get the weeks, six spreadsheets. So you have that. Now in order to kind of give an example of what you're going to do in your lab. I want to go back and look at our data from lab five. Now remember the scenario for lab five. I'm a principal of a high school. I walk down the senior map hallway and I picked one class in one class had ten students in it. And I pooled their midterm exam math scores. And they're listed here. If you remember from lab from last week that our mean, I'm just going to write it here. Feel free to fill in on your sheet. Our mean was a 76.9. Our standard deviation was 11.3964. And if remember our score that we were comparing was an 85. So I'm gonna write those down. Okay? So what I wanna do is I want to find a 95% confidence interval for the true mean midterm average of all the people in the class spraying it all. And then even trying to branch out further if we could to all the people in that or see years or whatever, what would the population we're trying to represent. So if you open up your week six spreadsheet, it's asking for competence level. And so our first one is 95. N is how many pieces of data we have. We only have ten. Are mean was 76.9, our standard deviation was 11.396 for population standard deviation, our answer is no, we don't know, we didn't have a population. They're asking if this standard deviation is a population standard deviation or not. And it was not because we've pulled a sample. Okay. You would only type yes, here if you've actually pulled an entire population. Okay? And so then it gives us some great information here in yellow. But the one thing you're going to take a look at are these the margin of error, you're lower and your upper limit. So I'm going to take a screenshot because that's the first thing that's asking for. Take a screenshot or Dina and you feel free to do the same so that you have it. And then I'll even, and then you can print these out and look at them while you're doing it for lab. Let me make it very small. So it, since he got up into space. Okay. So there's my 95% confidence at all. Now, give a practical interpretation of what this means. Well, what this means is that I can write, I am 95% confident. I am 95% confident that the true average of the mass mid-term exam is between 68.785.1 k. I am 95% confident that the true average, remember we only pull ten people. But if I were, if I wanted that to represent the entire average of the midterm exam of everybody who took it. It's between a 68.785.1. I'm 95% sure that the average will be there. So what I mean by that is I would have to verify I would have to go and pull the midterm math exam of every single student who took it in that senior year at that school and average it out. And what I'm saying is a 95% sure that that average will fall between 60.785.1. A lot of students say, oh, I'm 95% confident that the average of my sample, now, you know the average of your sample, the average of your sample with 76.9. So don't, when you're making a practical interpretation, you're not saying something about the sample. You're seeing something about the true mean of the population. If that makes sense. So you're basing it off of the sample that you have. Okay? Then what you're gonna do is you're going to do a 99% confidence interval. So all you have to do is go back to our spreadsheet and I, and when its height in, in blue, that I'm changing the confidence level from 0.952.99. So let's change this to 0.99. Then I'm going to take a screenshot in your answers should match mine right now. We're doing this together for the midterm math example. Okay? So here's my screenshot. Now this is for a 99% confidence interval. So what is the practical interpretation of that? Again, let's write this out. I am 99% confident that the true average of the midterm exam is between 65.288.6. So 60 by 0.288.6. And I'm getting that from the lower and the upper limit of my confidence interval. Now, want you to do is I want you to look at the margin of error. The margin of error for being 99% confident was 11.7, and the margin of error for being 95% confident was 8.15. What does that mean? Explain what that even means. What would the margin of error be larger or smaller? So in this case, and I want to tell you the answer for years, but for this case, it would be larger. And I want you to think about why that is. Look at the confidence intervals themselves. If you come back up here for the 95, mm, the 95 was between 68.785.1 and this is 65.288.6. It's kind of hard. You want to see if we can look at them side-by-side even that would be great. But you should notice that the interval for the 99% confidence is wider. It's a wider interval. Why is that? Think about that. Why is it, why is it bigger? Well, I want you to think about this. If you're 99% confident, that means that you don't want to be wrong, right? I mean, you never want to be wrong anytime. But 99% confidence means that you're, you're, you're pretty sure, like you're very, very sure that it's going to fall between 65.20.6. That the more sure. How could you even me washer by opening up the interval? Does that make sense? So let me demonstrate here, maybe this will make more sense. Let's say I was like, I am sure that the average amount of rain I'm going to get is two inches and six inches of rain, I'm sure but 95%. Well, I don't want you to be 95%. I want you to be 99%. All of you want me to be that sure. I'm sure is between 015 Inches of rain. I don't know where we're living but 0.15. so what I did is I've widened my interval so that I could have the amount of inches of rain inside of my interval. You widen it, you include more numbers. Therefore, that makes you more confident. Okay? So that's what happened here. So what we did just to recap, we took data from last week, okay? And we looked at the mean, the score, and the standard deviation, and we constructed a 9599% confidence interval. We talked about what they mean in context of the problem. Okay? We also looked at what happened to the interval itself as we become more confident and feel free to play around with this a little bit. What if you're 80% confident? What if you're 90% confident? So look what happens to your margin as you do that. Look what happens to the length of your interval when you change your level of confidence. That's really great to bring in to your lab. So hopefully that explains what we're gonna do in your actual lab. So let's look at your actual lab. So what you're going to be doing is you're going to first, I want you to read articles about competence intervals. I would really like you to see how they apply, especially in the health sciences. And these articles will kind of inspire that thought. Okay? And then what you're gonna do is you're going to, and I would love the little summary. I would love a little summary starting off this lab of what you learned from these articles. Then the next step, using the data that you collected in week five. Now remember in week five, you had ten different peoples height plus the ten that you or your professor gave you. So you should have 20 numbers. I want you to discuss the Gad Yair method of collection was its systematic convenience. Cluster, cluster stratified simple random. What are some false? I know you highlighted this in week five, but now I want you to talk about what are some faults with the type of data collection, okay. What other types of data collections could you used instead? And how might that affected your survey? So this right here is the really important part. This is what I am trying to see what you have learned, okay? So it's about telling me again what type of method you chose. Telling me what faults come with that method, some research might be involved. And then telling me another type of method that you would've liked to try if you could have and how that would affect your study. Okay. Then you're going to tell me what the point estimate was, the point estimates, your mean. So in our case when we're talking about the midterm, whereas my lecture notes here again, this right here, maybe I should write this down. The mean, the 76.9, that's your point estimate. This is what we're basing it off of. Okay? So the point estimate is the mean. Okay? So give a point estimate for the mean of the average height of all people at the place of your work. If that's where you pull your sample and start by putting the 20 heights you are working with into the blue data. So we've done this already. You should already have your data in and you know what your mean is in your sample standard deviation. Then what you're gonna do is you're going to construct a 95% confidence interval for the true mean height of all the pupil, the place of your work, what is the interval? And provide a screenshot which we did today. Then you're going to give me a practical interpretation what this means. So what you're explaining is your 95% confident that the true mean height of all the people that you work with or the population that you have is between this and this, okay? Then you're gonna put, of course going to post a screenshot. Then you're going to change your confidence levels. With 99% confidence level, you're going to take a screenshot and provide that as well. You're going to compare the margins of error. So this is where you're going to talk about what happened to your margin of error when we went from a 95 to 99% confidence interval, what happened to your interval when he went from 95 to 99% confidence interval? There should be a good paragraph explaining what happened, why it's happening, and try to explain it in the context of the data and the lab. And that's it. And then you're just going to save your document and upload and that will submit your work. Please feel free to reach out if you have any questions or concerns.