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Ection 3.2 Homework 10 of 13 (9 complete)-HW Scorend the range; variance, and standard deviation of the following body temperatures, in degrees Fahrenheit; Ible of ...

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Ection 3.2 Homework 10 of 13 (9 complete)-HW Scorend the range; variance, and standard deviation of the following body temperatures, in degrees Fahrenheit; Ible of booy temperatures.Data Table98.2 98.9 98.3 97.5 99.2 98.6 98.3 98.4 98.3 98.8 98.5 98.8 98.7 96.8 97.1 98.6 97.9 97.8 98.3 98.1 98.3 98.5 98.9 97.7 98.6 97.6 99.2 98.6 99.3 97.7 97.897.3 97.7 100.1 98.3 99.7 97.9 97.8 98.298.3 96.9 98.8 98.1 98.4 98.3 97.5 98.5 98.7 98.7 97.7 98.8 96.6 97.6 98 96.5 98 97.7 98.8 97.6 97.8 97,5 98.3

ection 3.2 Homework 10 of 13 (9 complete)- HW Score nd the range; variance, and standard deviation of the following body temperatures, in degrees Fahrenheit; Ible of booy temperatures. Data Table 98.2 98.9 98.3 97.5 99.2 98.6 98.3 98.4 98.3 98.8 98.5 98.8 98.7 96.8 97.1 98.6 97.9 97.8 98.3 98.1 98.3 98.5 98.9 97.7 98.6 97.6 99.2 98.6 99.3 97.7 97.897.3 97.7 100.1 98.3 99.7 97.9 97.8 98.298.3 96.9 98.8 98.1 98.4 98.3 97.5 98.5 98.7 98.7 97.7 98.8 96.6 97.6 98 96.5 98 97.7 98.8 97.6 97.8 97,5 98.3 98.3 98.8 98.7 97.8 97.8 97.597.6 99.2 98.7 98.6 98 98.3 98.198.798.6 98.4 98.8 98.3 98.7 97.9 98.9 98.5 99.2 98.1 98.5 97.5 97.9 99.3 98.3 97.6 98.3 98.9 97.4 97.9 98.4 97,8 98.2 97.6 98.496.5 Print Done box and then click Check Answer Clear All Chec



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Average ratings (1.3, 10.2) The students decided to compare the average ratings of the cafeteria food on the two scales.
(a) Find the mean and standard deviation of the ratings for the students who were given the 1-to-5 scale.
(b) For the students who were given the 0-to-4 scale, the ratings have a mean of 3.21 and a standard deviation of 0.568. Since the scales differ by one point, the group decided to add 1 to each of these ratings. What are the mean and standard deviation of the adjusted ratings?
(c) Would it be appropriate to compare the means from parts (a) and (b) using a two-sample t test? Justify your answer.

All right. So for number four, we are wanting to calculate the variance insanity aviation. So were given a list of numbers and that's the entire list of numbers that exists that's considered a population. So the first thing first you're gonna goto desk most dot com and you're gonna click, Start graphing and you'll get this screen. It'll be blank here, though. I type season. So Step two is gonna be in order. Find the variance. You wanna type V A r variants and then p for population, and then we're gonna start listing your number. So I started doing that right here. And so I'm going to type up those numbers. That's the hardest part of this. Is hyping up the numbers properly with commas. Now this one wasn't too bad because it's 3 21 3 22 3 23 3 24 3 25 3 26 3 27 3 28 3 29 a 330 Zehr last number. And so we have an exact answer of 8.25 is our variance for our entire list of the population. And then we can do one of two things weaken square root this 8.25 to get the center deviation. Or you can fine center deviation by typing Syrian STD for standard and then D e V for deviation p for population. Enlist those numbers now you don't have to necessarily re type battle those numbers. There is the lovely copy and paste option. So you'll do control, See And then down here in between these parentheses. Now, parentheses are important. Make sure that they're there if you forget the parentheses and they won't show up. So control v paste that list and there is our, ah, standard deviation. We're going around in the nearest tents. So our standard deviation is 2.9. And like I said, you could square root 8.25 and I'll show you real quick. And as you can see, that will get you the same answer

Okay. So for number four, we need to find the variance and standard deviation of the given list. And so the list goes from 3 21 goes in order, um, up until 3 30 So by accounting that out, that is 10 numbers. So the first thing we need to do whatever you're finding very interested in aviation is to find the meat the X bar. So we're going to make sure that whenever we add up all those numbers that we divide by 10 because there's 10 numbers in that list, So we're gonna go ahead and add up. 3 21 plus 3 22 plus 3 23 plus 3 24 plus 3 25 plus 3 26 plus 3 27 plus 3 28 plus 3 29 plus 3 30 And we get 3000 255. Okay. And then when you divide by 10 that's gonna get us 3 25.5 And so we definitely are. Could be using that average quite often. And step two because the pub Aaron's is your turn to see how first put out your mean is away from the numbers in the list. So I'm going to go ahead and we're going to be taking all the numbers in our list. And we do each of them subtracted by the mean. So I'm gonna be rewriting three or 5.5 pretty often. Here, it's clean. There we go. Sometimes the stylist has its own mind, I swear. Ah, it's a 3 25.53 25.5 the 5.5. And this is a great way to help keep yourself organized the way that this is kind of set up. It's a great way to show your work, because I imagine that is something you might have to be doing. Obviously, if you are allowed used technology and you were taught to use the technology methods, then feel free to do that as well. Just to build a check. Your word. Nothing wrong with verifying about the right answer. Okay. All right. So we're gonna be subtracting. I'm gonna be swearing now. The reason why we square is because sometimes you're gonna end up with a negative difference, and we want to always keep very insistent deviation positive. So by squaring it that will all ultimately always fix any negative. You might get somewhere, do 3 21 minus 3 25.5 And I get negative. 4.5. We're gonna square that. And that's going to get me 20.25 20.25 down. And then we're gonna do 3 20 to minus 3 25.5 That's gonna get us negative. 3.5 square that we get 12.25 3 23 minus 3 25.5 is 2.5 negative than you. Square that integrate at 6.25 Okay, so there, 24 minus 3 25 15 is in. The 1.5 squared gets, We get 2.25 and then we're gonna have 0.5 getting squared. That's me. 0.25 Right here. So then it pretty much because of how everything's going. If I do 3 26 minus 3 25.5 that's going to 0.5, squared 2nd 0.25 then this one is going to be two Point are 1.5 squared. That's gonna get me the 2.25 So you could kind of see the pattern because it's building back up on the positive sides. So we're gonna get 6.25 here, we're gonna get 12 0.25 and we're going to get 20.25 and then And lastly, to get the variation is we take all the numbers that are now in my box, all 10 of them. I'm gonna add them up and abide to get the average, and that average ends up being our variance. So we're going to do 20.25 plus 12.25 plus 6.25 plus 2.25 plus 0.25 plus 0.25 plus 2.256 45 plus 25 close 20.25 Add it all up. Get this 82.5. So 82.5 divided by 10 is going to be our variance and so are variants. Ends up Equalling eight 0.25 Gonna go ahead and put a circle around that and of course, we need to get the standard deviation as well. But luckily for us, that's not a very big or tedious step. We're gonna take whatever we just got in Step two, as are various 8.25 And we're gonna swear route the 8.25 and we're going to round to the nearest 10. So when we do that, you should be getting approximately you point nine as your standard deviation. Circle it and we're done with number four.

So, first of four, we should salt this number so that we can find them more usually. And I'm terror. I arranged this number from low to high. We get for lowering temperatures. So for me, so here we have seven number. So that means should be nectar six plus steel. Minding the 10 year five for 26%. 10 is expressed any mind, and this is you go to 119 over salmon yourself, he said. Soon, um, medium. We just find the fours number, which is 25 and the mode. It's a number. Well, it appears the most of time, so it should be kind Essex.

Okay, Dokey. So for number 10 we are finding the varying since then. Aviation. Before we can do that, we have toe average out all the numbers in our list. So there were 10 items or less. They are a little bit bigger of numbers, but we can still add up all those numbers and then divide by 10 to find the meaning. That's gonna be our first test. So we're going to add up all the numbers. 2 34 plus 3 45 plus 1 23 plus 3 68 plus 2 79 plus date, 76 plus 4 44 was 4 36 goes to 35 class, 333. Then I get 3000 693 and were dividing that by 10. So are mean is 3 69 0.3. So our task now is to use this mean that we just calculated and reuse it several times instead to in order to find the variance. So we're gonna subtract 3 69.3 from all of our numbers on our list. As you can see, all those numbers were the ones in the list and we're gonna subtract and then we're gonna square And the reason why we square is so that we can keep our variance positive And our souls were singing deviation. So we're just gonna writing 3 69.3 quite often. And if you want to, you could probably get away with kind of doing something like this to save time. Or, um, some things people do is like this little ah, these little quotation marks shapes to show that those for the state is the same thing. I honestly think if you draw a narrow down that it's gonna be the same thing as a symbol on that could help you save some time. So we're going to keep reusing 3 69.3 with our subtractions going to do to 34 minus 3 69.3 I'm going in a negative 1 35.3 But remember, have to square it so we can get a positive. That's called me a bigger number. It's gonna be 18,003 06 0.9 All right, so then we're gonna do 3 45 minus 3 69.3 and 24.3 gets squared and we get 5 90 point for nine on. We're gonna do 1 23 minus 3 69.3 and square that we get a big number. We can't. 60,000 663.69 Then we have 3 68 minus 3 69.3 Relatively smaller this time for sure. 1.69 to 79 minus 3 69.3 and then square that you get 8000. 154.9 Okay, so 8 76 13 69.3 Square that and we get a very big number. We get 200 and 56,700 and 44 0.89 All right. 444 minus 3 69.3 square that you get 5000 580 0.9 for 4 56 minus 3 69.3 squared. It's a 7000 516 0.89 2 35 mile s 3 69.3 I swear, is 18,000 36 might for nine. No, no. All right, 3 33 minus 3 69.3 is gonna get us 18 17 0.69 So all those numbers that we just got, we're going to need to add up all of them and shift gears for thes numbers. We're gonna go add up all of those numbers and find the average of that. And that will be the variance that we're trying to find, so it's gonna be able to typing. But it's so worth it. It's good practice. So 18,306 0.9 plus 590.49 plus 60,600 cc 3.69 plus 4.69 plus 8154 0.9 classed 256,744 0.89 plus 5580.9 plus 7516.89 Last 18,036 0.49 plus 1317 969 So you very decently sized number. Here we get 30 376,000 912.1. When you divide that by 10 years, move that decimal over. Once you're going to get 37,000 691 0.2 rounder than years 10 then you square root that number, and that will be our standard deviation. So we want a circle that as a final answer, and there were a square root 37,000 690 1.2 you square root that answer square root that and we get 194.1 rounded to the nearest 10th for sanity mediation.


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