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Homework: Chapter 9 HW Score: of 5 pts 9.2.6201 8cordetelHw Score: 096. 0 0f 58 [Cuustion Holpranaonuad controlled Irlal, Insectcciia-brealed bednels wore lesled i7...

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Homework: Chapter 9 HW Score: of 5 pts 9.2.6201 8cordetelHw Score: 096. 0 0f 58 [Cuustion Holpranaonuad controlled Irlal, Insectcciia-brealed bednels wore lesled i7 way feducu Malariz Anong 332 Intants using bednets deveDed Malari? Hand bodnob Alcna neant dwvulcpod malbna_ Uit 001 sigificuricu lvel Ioat Ine clarn Innal mc incience ol mnalant ullucinot Conn Is lo vor for inlants Usng bedret Do the bednets; appear I0 be Ipothesls Iesi by uring tha fututs fromthv qiton dieFlay Derner Eelmela Oulere

Homework: Chapter 9 HW Score: of 5 pts 9.2.6 201 8 cordetel Hw Score: 096. 0 0f 58 [ Cuustion Holp ranaonuad controlled Irlal, Insectcciia-brealed bednels wore lesled i7 way feducu Malariz Anong 332 Intants using bednets deveDed Malari? Hand bodnob Alcna neant dwvulcpod malbna_ Uit 001 sigificuricu lvel Ioat Ine clarn Innal mc incience ol mnalant ullucinot Conn Is lo vor for inlants Usng bedret Do the bednets; appear I0 be Ipothesls Iesi by uring tha fututs fromthv qiton dieFlay Derner Eelmela Oulerence 0,0470182 980 upper bourd Icr diforence: 0.01109179 Teel Ior Otlettnod =0 (va {Ul: 2 P-Vu Uo 0.017 Whal are Me null and alemative hypolnutes? 04 Ho: P4 "Pz Ap = Ho" Pa #Pz H; P, > Pz Hg P =1z Fn 06 H;P / Pz 06 Ho'0 / Pz HA0t



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Focus Problem: Meteorology The Focus Problem at the beginning of this chapter asks you to use a sign test with a $5 \%$ level of significance to test the claim that the overall temperature distribution of Madison, Wisconsin, is different (either way) from that of Juneau, Alaska. The monthly average data (in ${ }^{\circ} \mathrm{F}$ ) are as follows. $$ \begin{aligned} &\begin{array}{l|llllll} \hline \text { Month } & \text { Jan. } & \text { Feb. } & \text { March } & \text { April } & \text { May } & \text { June } \\ \hline \text { Madison } & 17.5 & 21.1 & 31.5 & 46.1 & 57.0 & 67.0 \\ \hline \text { Juneau } & 22.2 & 27.3 & 31.9 & 38.4 & 46.4 & 52.8 \\ \hline \end{array}\\ &\text { Juriedu }\\ &\begin{array}{l|cccccc} \hline \text { Month } & \text { July } & \text { Aug. } & \text { Sept. } & \text { Oct. } & \text { Nov. } & \text { Dec. } \\ \hline \text { Madison } & 71.3 & 69.8 & 60.7 & 51.0 & 35.7 & 22.8 \\ \hline \text { Juneau } & 55.5 & 54.1 & 49.0 & 41.5 & 32.0 & 26.9 \\ \hline \end{array}\\ &\text { What is your conclusion? } \end{aligned} $$

Hi. We're gonna start with stating our null hypothesis with which is mu is equal to 50,000 words on don't help others with a plane. You is greater than, ah, 50,000. Um, 50,000 words. So I used Microsoft Excel on you can use either table or calculator or any and others of throw upside. But I found that ah ah could still value is 1.44 Based on the facts of that end, is it for to seven. So degree of freedom is equal to six on Alpha's, whatever the given one. In this case, my offer is point when and we know it's when tale which is the right tail. And also I compute the average and standard deviation using a pathetic cell. As you can see here, here's the average and he is that center deviation. Andi, I compute this value using this formula expire or just average minus view. Divide by send a deviation of assemble divided by a squared off end to the sample size, and you will find that there's 1864 on a graphically Here is the critical value, and we know that it's the right tail So here's the reduction area rejection. Yeah, any buoyant from that? This value happens. Toe form here means we get a rejected up. But in our case, it is not. So we conclude that we don't reject the null, so we can say there's no enough evidence to support that the average is greater than 50,000.

We're going to test whether the customer are going to be at her to the transmission service. 30,000 miles. A significant in that bowl is you know, 0.1. So let's state the hypothesis. So no hypothesis, it will be knew it was too early. 1000. So this will be our claim. And then the alternative high father says Mewes difference. Born 30,000 those a test values e will be 45 30,006 minus 30,000. You over 16 84 over square one of 40. So please give me my Z value is 1.71. Then we're gonna get a P value placed on this table. So Aziz, 1.71. It gives me the value off 0.95 64. So my p value is will be one minus, you know, boy 95 64. So this equal to deal boy zero for 36. So the significant level is 0.1. And this his to tell tests. So h off this region is Alfa over to which is boy 05 So we have p value is blessed. Back out over two, which is 0.5 So that means this we're going to reject and no high farther, sis. So we conclude that there is not enough evidence that the customer hurrying to the transmission be service at 30,000 mile a significant level Alfa equal to 0.1.

All right, So in this question, we are given data regarding the costs of deliveries and we want to find a range in the sample standard deviation for this dataset. Um and what I've done here, I was actually just organize the data from least to greatest, which is helpful because when we want to find the range, that's actually just going to be the biggest minus the smallest, so it's going to be 34, 70 -16 84. So if you organize it from lowest to highest, the highest to lowest, um it's very clear which ones those are, especially when we're dealing with a lot of numbers or what big numbers, it's good to sort that out. Um so this difference is going to be 1,786, that's going to be in dollars. So the range is $1786 to find the example standard deviation. Um Well, that actually relies on the square differences from the mean, so we actually have to figure out what the mean is and well the mean is just going to be the sum of all the terms. You add them all up and then divide by the total number of terms, which in our case is If you add them all up and divide by eight, that's going to give you a mean of $2,589.4 um and that gives you the average cost of a delivery. Well, the important reason we need to know the mean aside from giving us useful information about the data set, is that, like I mentioned, the standard deviation relies on the square differences from the mean, namely right for each data point, we are going to calculate the square difference from the mean. So we're going to subtract, so we're going to start with the first data point, subtract the means to 5 8 9.4. And we are going to find that square different. So we're going to square it. And in this standard deviation expression in the numerator is the sum of the square differences from the mean. So we're going to some Across all of our terms. So this is our second term -2 means this is our third term minus the mean squared minus mean tree. 94 Weird. Right? And you do this for all of your terms, right? Our denominator is simply going to be N -1. So and in this case is eight. So our denominator is seven. All right. Well, our setup is done. All we have to do now is political calculator. And be careful. That's also what computers are for their very helpful with this. But when you add all of that up and do your squares, you'll get three million and 84,000, 890 approximately. That's going to be divided by seven and that all simplifies to be $663.9 as extended deviation. And they accessed around 21 more data point or one more decimal than is provided. And that is precisely done. Yeah.

In this question we're doing because car will is just so what's best completely stable by building D during columns. So we're Inc Well, so May is a different color. Why to three? Why 67 and 11 turf ended in the same. So we had positions should be tricked. 15 all right can. So it says did in. Ah, But it is Asian arts. There is no different difference in the mid ish one. It's different in defense. Peshawar is the plane and used to to to find new Chris Pariveda out of finds questions Little plan. 05 Krisel Freedom. There's a closed. Okay, they asked. Why credits 39 outside just to it's kind of video and quiet, but went 99 1 But in used to two companies, they test beta. Their formula for it is really h quarantine trend. Do it by, uh, both birthday and last line, but spread by, uh, a thread. I bet it by and a plus r b. It's great. Do anything and he plus, uh, see squared, but it by and see mine us three months right back and that's one big and is it is home number all that stuff and a plus and and that's and see which is a quality last. All right past fine, Kurt and a quote, sir, is it closed and be culture and see? But friends, uh, let's are is the brings. So are a It was a quote, sir. It's one plus three. Yes. Uh huh. Does by bless you know, then she's wonderful. I don't he isn't closure six plus seven Closed eight last night. Trust for 10. Quote you 44. Then out of C Is it cruncher to does? It's too Plus 10 Does have a point by president Point by Does She's a quote 52 then sometimes just devalues the formula. H has been quiet. Do you read it? By big end Is 15 bad by 15? That's why Want to read by gender ful squared? Do it by fine plus 44 squared. Do it by Brian Plus it would spread good it by fine mine us three by 15 plus one This is quieter The 2.16 minus 48 which is a potential for friend Wire six. Then compare You know you off. H would may critical baby Since full friend ones speaks. Sorry since opening 16 Let's then five. Blind 991 Okay. Do knows any change it is is not enough evidence to support claimed it bays a difference in mean.


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