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Read the Blitzer Bonus beginning on page 15. Use the formula
$$\mathrm{BAC}=\frac{600 n}{w(0.6 n+169)}$$
and replace $w$ with your body weight. Using this formula and a calculator, compute your BAC for integers from $n=1$ to $n=10$ . Round to three decimal places. According to this model, how many drinks can you consume in an hour without exceeding the legal measure of drunk driving?

In this problem, we are given a dot plots of giants player heights. So we want to know what is the shape and two what is the skew? So for a shape, we can first approximate the draw, what the shape looks like, and in this shape it looks like it is left skewed left skewed, and of course this is left skew. We can determine that this is left skew by identifying the peak and the tail, and from the peak detail it is left skewed.

We have a data sample with 27 objects in the sample. And 15 objects satisfying the conditions we want to meet our equals 15. We want to test the claim for this population of the proportion P is less than 150.77 Based on this data on a confidence level of alpha equals 0.1 Now that we've identified the confidence level, we go to the following procedures. Just conduct this hypothesis test first. Is it appropriate to use the normal distribution? Yes, it is. Because both N. P and Q. P. R greater than five. What hypotheses are we testing the null hypothesis? H not? Is that P equals 50.77? The alternative hypothesis AJ that P is less than 0.77 Ak We're using a one tailed test for this test. Next compute P. Hot. And the test statistic P hot remember is just our over N. 2.55 And plugging that into the Z. Start formula on the right along with P. Q and N gives P. Or rather Z equals negative 2.64 Next we can put the P value using a Z. Table where the P value is the area highlighted in yellow on the figure on the right to the left of our Z. Score negative 2.64 This P value is 0.41 Next we reject H not. Yes, we do because P is less than alpha, and we interpret that to mean that we have evidence that P is less than 0.77

All right, so with this question, it's an application exercise. So we're given the number of highway fatalities in the United States. Involvement, distracted driving. We're showing a bar graph and a scatter plot. Um, this is a two part question, so we'll solve each of them individually. Yeah, So the first part is asking us to use two data points to find the number of highway fatalities involved. Instructor driving after the year 2000 and four. For this. We need to know the slope intercept form. We will use the point slope form in order to get to the slope intercept form. And we will use ourselves. So we need to find ourselves first in order to figure out our equation. So we're given two points. Yeah. 0.1 is one 4571 0.2 is or 5870. Okay, so now we know that we need to use We need to find ourselves intercept form, but we don't know our soap. And our slope, we remember, is an equals, uh, two points. You need y tu minus y one over X two minus X boy. So now what is my y two x two y one or x one. So these these each point has an X and Y values. So this would be X Y. This is X two. This is why one. And this is why two. So now we simply pill again. I'm just going to continue on this direction. So you say M equals 5000 170 minus or why one over our X two minus R X one. Okay. And you simply just solve it through how to be 1299 over three. And that is equal to 433. So our slope is the highway, so it's 433 highway fatalities each year I'm given by the slope. Okay, So in order to get to our slope intercept form, we first need to use the slow the point slope form to find the wires up. Because we don't know our why intercept yet to our grand equation? Why equals and my exclusive B We saw this one, but we still need this one. Right? So that's our winners up. Yeah. Okay. So yeah. Excuse me. Mm. So my point. So forum is okay. Yeah, yeah, Yeah. Why? Minus why one equals mm. X minus X one. Yeah. So this might look familiar. You know why one explain these are the same as mhm. Ah, X 111 on the slope and on our first point. Excuse me. Yeah. Yeah. Okay. So I simply plug in since I know where my x one and y one r, I think we go on. Okay. Why? Minus or 1005 171 equals RM. Slope, which is 433 equals X minus. Yes. One. Okay. And then we simplify it. We want to distribute or 433 with this, um, and then bring our $4000 anyone over to our right side? Mhm tell Because why? 400 33 x minus 433 plus 2571. Yeah. Yeah. And so my equation becomes y equals 433 x plus 400 4100. The 38. So see if this comes out in our slope. Intercept form. Excuse me. Yeah. So this is the linear equation that models the highway fatalities per year. And now we're asked to find, uh, predict the fatalities in 2014. So since we know this is per year, we can use this to protect what will happen in the future for the second part of this question. So, yeah. So from 2004 2 2014 is between those two numbers is 10 years. Yeah, so that would equal X. That is what will go into our place of our equation and the X variable simply. I will go. Why equals 433 mhm, 10 times years plus. And this is just my units. It's important to keep over their units and and you multiply 433 times time we get, and then you add the 4138. So we get why equals 4000 6468. And that is fatalities predicted in the year 2014. Given the data, um, gathered up, uh, start in 2004. So this is a way that you can use a linear equation to predict the future, given data that you've already collected. All right? Yeah. Okay.

Okay, this would problem. Ah, a little more complex. We have some big points for at 58. 70 and we have a one hat 40 five 71. So we need to find a slope of that. And in order to find slope without what we do is we take the 58 70 minus the 45 71 put that over four minus one. Uh, sounds easy, right? Uh, that comes down to 12. 99 over three. Break that down even further in us for 33. And that's gonna be the slope of our lying in that scatter plot. A graph on. We've got to put that into our slope intercept farm equation. So let's go ahead and do so. Um 58. 70 is the point I'm gonna choose to use, um, we are. Slope was for 33. Yeah, and then we have that x minus, uh, four. And simplify this equation we got why, minus 58. 70 equals for 33 X minus 4 33 times four. So if you do 4 33 times four and work that out, you will get, um 4 33 times four so four times. Streets 12 14 Threes. 12 13 16 17 6 17 32 k and then we gotta add 58. 70 double sides at 50 semi double sides gives us that. Why alone? And that's what we're always looking for. Her and our slope of 4 33 x and, of course, 58 70 minus 17. 32 uh, 58 70 minus 17 through to his 41 38 41 30 eight. Okay, so now we have it in. Uh, this is our why intercept and we have our slope. But it's asking us also to predict, um, what's going on into the future. And if we take that five, uh, 58 70 and we look at the 41 38 we're looking into that future, we wanna kind of put that information together because those numbers are gonna help us predict that future, and that 10 1000 and eight of those added together is gonna help us produce


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