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Chicken Consumption (Pounds)Annual Chicken Consumption (Ib) 118 74 115 89 86 75 65 126 84 32 110 50 54 61 110 101 132 G5 1 116 60 69 1 90 103 60 67 101 1 8a 138 3 8...

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Chicken Consumption (Pounds)Annual Chicken Consumption (Ib) 118 74 115 89 86 75 65 126 84 32 110 50 54 61 110 101 132 G5 1 116 60 69 1 90 103 60 67 101 1 8a 138 3 80 103 1 96 18 88 113 107 19 88 62 100 117 90 127 89 76 132 108 74 93 82 59 124 136 56 50PrintDone

Chicken Consumption (Pounds) Annual Chicken Consumption (Ib) 118 74 115 89 86 75 65 126 84 32 110 50 54 61 110 101 132 G5 1 116 60 69 1 90 103 60 67 101 1 8a 138 3 80 103 1 96 18 88 113 107 19 88 62 100 117 90 127 89 76 132 108 74 93 82 59 124 136 56 50 Print Done



Answers

Chicken Consumption. The annual per-capita consumption of chicken in the United States was $42.5 \mathrm{lb}$ in $1990 .$ By $2011,$ this amount had increased to 58.4 Ib. (Source: Economic Research Service, U.S. Department of Agriculture) Find the average rate of change in per-capita consumption of chicken from 1990 to 2011

Were given the pork consumption and chicken consumption equations. So we need to solve the following and interpret the answer. So we have negative 0.11 X plus 49.7 equals 1.13 X plus 31.5. We subtract or add 0.11 X. to both sides And subtract 31.5. So we get this cancels this cancels So 47 49.7 -31.5. Yeah minus not add. So minus Is 18.2 is equal to. Oops, this cancels out. Not that 1.13 plus .11. It's 1.24 X. We divide both things by 1.24. So 18.2, divided by 1.24 gives us about 15 years. Between 14 and 15 years, it's like 14.6 is equal to X. So basically 1980 plus 14. So 1980 Plus 14. So between 1994 and 1995, cool the pork and chicken consumption was the same. So here we have our equations. So here we have X. In order for chicken to be greater Them Pork X. has to be greater than 14. So we're going from 14, two, 30 years because that's how long the study is and that's where it ends. But 14 has not included. So at this point the chicken consumption is greater. Then pork consumption between 1995 to 1980 plus 30, 1980 plus 30 is 2010. And then over here we have for chicken to be less than pork, It has to be less than 14, so we're going from zero years to 13, but 13 is not included. So here the chicken is less, then the pork between 1980 two, 1994/95.

Okay, So in order to solve this problem again, we're going to define our variables game so less use different variables this time. So we let TB the number off consumption or consumption. Oh, chicken annual pretty capital. All right. And then we'll have B B, the consumption off MIF. And according to the problem, the consumption first in IHS £6.3 less than that of the beef. So the consumption chicken is actually the consumption of beef minus 6.3 bounce and on the average, the total consumption that they have. So that seat must be s one of journey £0.5 off. She can. Okay, so this will be our system off inner creations, and we're going to use the substitution. Buy something, shooting the first equation to the value of see in our second equation. Okay, so the second equation becomes B minus six point C, which is the value off seeing the first creation and then plus B ecause 120.5, a combined similar turns. You have to be minus explained three because 120 25. Okay, and add in 6.3 on both sides of vacation got to be caused. 129.5 thus explained. Okay. And then we have to be recalls 126 point and sold him for B. We divide both sides by two chancel out to we got me. He call 63 going for bounds off leaf here. Next in order. So for the consumption of chicken, we'll use either the first or the second equation is substituting the value of B. We have calculated earlier bought for easier calculation will use the perspiration course. So we have C calls. U minus. Explain three. To that, C equals 63.4. My nurse six pointy. Okay. And so calculating. The will get, uh, if the seven point all bounds off chicken consumption of chicken, okay?

Okay for this problem were given some information and data from a back sheet about us meat and poultry production and how much we eat chicken. So the population and we want to look at our population and then see what our standard, uh, our sampling distribution mean and standard deviation may look like. So let's just write down what we know already. So we know were provided for a population. The ah mean consumption of chicken per year is about 86.5 pounds of chicken per year. There consumes. He's done a spear amount of data, and so we also know that that did also have a standard deviation of 29.3. So there is some variation according to the data we've checked. And, um, we're going to do a sampling of a certain size. So the sample always what's what effects some other outcomes here. So the sampling is 150 randomly selected people. We're going to see what the data looks like based on that sample size for our meeting and our standard deviation. So, first of all, we always want to find the mean so we want to me and so symbolically is important. So you see that symbol for the population there? Well, the population mean is the same as a sampling me because we do. The sampling of its of meaning of the sample distribution is wanted to be the same number as a population mean so 86.5. Is that so? The little difference and symbols important to the for the standard deviation for that one. We know the standard deviation of the, um his sample means in that symbol important to know. So we're talking about this overall date of the population, which we knew, um, have a standard deviation of £29.3 per person. But based on our sample size, we adjust that because we're taking the data and taking a sample of the means of the data. So we're gonna do is take that 20.3 and divided by the square root of 1 50 Take out my calculated and do that math, and I find out that my, uh, adjusted sample me and standard deviation is 2.392 And finally we have the talk about describing the shape of the sampling sampling distribution. So another shape. Because of this nice big sample size and the data source, we know that it's approximately normal

Oh all right. So on this uh problem here, we're talking about consumption of beef and chicken. So the first thing we're told about is that for the chicken, we have 200 pairs given to comma 56.8 and 10 comma 66.8. So we need to go find the slope first and then plug in the point slope form to get the equation the approximate equation of the line. So remember this is X one Y one X two, Y two. I'm gonna do 66.8 -56 .8 Over 10 -2. So that's going to end up being 10 Divided by eight, which is 1.25. I'm ready to then plug into the y minus Y. One equals m parentheses X minus X one which is point slope form. So pick up point doesn't matter which I'm going to pick the um the first point. So I m y minus 56.8 is equal to 1.25 Parentheses X -2. I'm going to distribute that And move the 56.8 over. You should get y is equal to 1.25 x plus 54.3 When you do all that moving. So that's our equation for a chicken consumption. Were then asked to move onto the b the beef consumption. So we're going to have to other points, they are given to us zero comma 64.5 which happens to be the white intercepts, we're definitely going to be able to get this one done a little bit faster because we just need to find the slope then because we have the intercept. So 10 comma 61.3, I'm gonna do the slope formula. So I'm going to have 64.5 -61.3 Over 0 -10. And that's going to get me 3.2 Divided by -10, which is negative Negative .32. So that's my slope. And then this is my Y intercept. So it's going to be y is equal to negative 0.32 X plus 64 .5. So that's our beef consumption. So I'm gonna plug these two equations into a graphing calculator and see where they need to be able to answer questions, see and interpret it. So to save time I went ahead to disclose.com which is a graphing calculator. I typed in, y equals 1.25 x. I went ahead and I calculated or plugged in Y equals negative 0.3 to expose 64.5. And got this wherever those lines meet. That's when their consumption was the same at the same time. So in 2006, because this is about mid to 6.5. So you about 2006 From the year 2000 they consumed about 60 to £4 at equally and so that's the answer to question see


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