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SafariEdit Vie xHistory Bcokmarks WindowFri 12,06rnathxlenChoes Slute Guidod SclulonsCncan Study Guided SolutonsUSala Fil Eairvar Halony BockmakAc-s; MuSlal Lai MAT...

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SafariEdit Vie xHistory Bcokmarks WindowFri 12,06rnathxlenChoes Slute Guidod SclulonsCncan Study Guided SolutonsUSala Fil Eairvar Halony BockmakAc-s; MuSlal Lai MATH 201 SaristiHomenc - Mimi EdscnMATH 211 BL-1Mimi Fdson1/4/19 12.06 PMHomework: Homework 8SaveScore; !2o/3 comlerciHW Score; 0%_ of 15 pts9.2.10-TQuestion HelpWwom bnA 8 udy was dont oneody temceratures Men and #omer samp Acted {rmCorma dishbuler nooulatan: 0.05 5 gnificance level for botn padsJeemne Are &noccTnerane A93ure Inarne

Safari Edit Vie x History Bcokmarks Window Fri 12,06 rnathxlen Choes Slute Guidod Sclulons Cncan Study Guided Solutons USala Fil Eairvar Halony Bockmak Ac-s; MuSlal Lai MATH 201 Saristi Homenc - Mimi Edscn MATH 211 BL-1 Mimi Fdson 1/4/19 12.06 PM Homework: Homework 8 Save Score; ! 2o/3 comlerci HW Score; 0%_ of 15 pts 9.2.10-T Question Help Wwom bn A 8 udy was dont oneody temceratures Men and #omer samp Acted {rmCorma dishbuler nooulatan: 0.05 5 gnificance level for botn pads Jeemne Are &nocc Tnerane A93ure Inarne [c 2noes are Inde:endent sirple rolassume KmalraGonulaton standanc daviations Aquel Comolale rame aiano ndoar daic 0.97-F 0,.72" Tes:- caim tjal Mantave higher Mean body amparajure tan*omen wnal are thenuii and alternalive nvoolneser Fc' 41*42 K Fo' 41 3p2 Fm Ho: H1 Frh; 402 Ho' 01 202 H: H1 < u2 Click sele ct VCui answar and then clck Check Anser: PBn: rerainirg Clear AJI Chack Anowar Screen Sho 3019 Weleeal



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Cuckoos lay their eggs in the nests of other (host) birds. The eggs are then adopted and hatched by the host birds. But the potential host birds lay eggs of different sizes. Does the cuckoo change the size of her eggs for different foster species? The numbers in the table are lengths (in mm) of cuckoo eggs found in nests of three different species of other birds. The data are drawn from the work of O.M. Latter in 1902 and were used in a fundamental textbook on statistical quality control by L.H.C. Tippett (1902–1985), one of the pioneers in that field.
$$\begin{array}{lll}{\text { Cuckoo Egg Length (MM) }} \\ {\text { Foster Parent Species }} \\ {\text { Sparrow }} & {\text { Robin }} & {\text { Wagtail }} \\ \hline 20.85 & {21.05} & {21.05} \\ {21.65} & {21.85} & {21.85} \\ {21.65} & {21.85} & {21.85} \\ {22.05} & {22.05} & {21.85} \\ {22.85} & {22.05} & {21.85} \\ {23.05} & {22.05} & {22.05} \\ {23.05} & {22.25} & {22.45} \\ {23.05} & {22.45} & {22.65} \\ {23.05} & {22.45} & {23.05} \\ {23.45} & {22.65} & {23.05} \\ {23.85} & {23.05} & {23.25} \\ {23.85} & {23.05} & {23.45} \\ {23.85} & {23.05} & {24.05} \\ {24.05} & {23.05} & {24.05} \\ {25.05} & {23.05} & {24.05} \\ & {23.25} & {24.85} \\ &
{23.85} \end{array}$$
Investigate the question of whether the mean length of cuckoo eggs is the same for different species, and state your conclusion.

For this problem. We have been given a matrix that shows how the population of northern spotted owls is changing year by year. And we're watching three different subgroups of female owls juveniles, sub adults, which are 1 to 2 years old and then full adults two years and older. And we're looking at this. The Matrix A that I have here shows the percentages, um, that we need to use in order to find our population. So if I have Matrix B, that shows how many female owls in each of those three subgroups 900 juveniles, 500 sub adults, 2600 adults if I multiply a Times B, that shows me the number off owls in each of those subsections the following year. So after one year I go from my population has given to this new population, and I want to take a look at for each of the next five years. So let's go five years out. This is your one now for year two. I'll take this new matrix that we have and multiply it by a so I'll have a times what we just found a times B. So this is after year one after year, too. What about your three? Well, I'm going to take my Matrix A and then multiplied by this result that I just got so for years, three. I will get these numbers. Your one year, two year three. How about your four A. B and year five. Great five. Okay, now, let's just take a look at what we have here now. We started with 900 juveniles. Now we had a little bit of a dip, and then it increased. So this is not perfectly steady moving in one direction. But as we go on, those numbers do seem to be declining. What about our sub adults? What looks like we must have had a very large population of sub adults because it went down rapidly that first year and then kind of stabilized a little, but definitely stabilized lower. And how about our adults and went up a little bit again. We had a large group of sub adults, but now it is going back down again, and we are. So we went up really high, and it's starting to decline. In fact, we've been told that our, um the overall um Matrix so we can use to find long term growth of this population. If I want to find the end plus one year of juveniles, sub adults and adults, I'm going to take the current numbers that we have. And I'm gonna multiply that by 0.9835 n. Well, that number is less than one. So overall, every year that I check these populations I'm expecting from one year to the next to go down, not by a lot. You know, one would make a stable population the same number from one year to the next. It was bigger than one. Our population would be growing. But this means that my spotted our population is in decline. This is less than one. Well, what if we take a look at our original graph? I'm gonna come back up here and look at a so that's 0.18 number there in that second row first column that says that Onley 18% of juveniles become sub adults. The rest of them don't make it past that first year. Yeah, What could cause that number? Well, maybe it's the habitat. There isn't. Ah, good habitat for the babies. to grow in. Maybe the population of predator versus prey is a little bit out of whack. Maybe there are too many animals that eat small birds that that's causing a problem here. Maybe dogs or cats that are on the loose or foxes or something that might damage these babies. Maybe there's simply not enough food for them to, uh, go from egg to mature adults. Maybe there's something in the environment that's making them sick. We don't know, but there's a lot of things that could cause that problem. What would happen, though, if we targeted that number that we put the management habitat management in place may be reduced pollution. Um, took a look at the environment and try to make some changes, and we could increase that from 18% of 40%. What would that change? Will now take a look What happens to my numbers? Well, I start with 900 juveniles, and again, it's a little bit of a dip, But look at those numbers. 9 23 9 52 till your five. I'm over 1000 juveniles sub adults again, there's a small gap. I think there were more sub adults than usual in this first year. But now, once it kind of stabilizes, those numbers are increasing. And what about my adults? 27 99 28 87? I'm over 3100 by the end of this five year period. In fact, if I add up all of the birds at the end of my five year period, I have 1004 juveniles, 390 sub adults and 3130 adults. So I have gone from a population of 4000 at the beginning of my study, up to 4524. And that's with the 40% if I had added up those same numbers back when it was only 18%. The some of those numbers after five years was 3639 a decrease rather than increase. So that number is very important to the population of this spotted owl. Getting that number increased from 18 to 40 will make a huge impact on the overall health and well being of the spotted owl population

Yeah. All right guys, the first thing we need to do here is we do identify on are null and alternative hypothesis are no hypothesis. Excuse me being that the variations are going to be the same. And the turn of prosthesis is that they're going to have different variations as you can see right here. Okay, so the next thing I did to solve the problem was I opened a google she and I am putting a lot of the data. You'll notice all the data is and put it right there. Okay. And then, so what I'm gonna do from there, what I'm gonna do from there is this I'm gonna go ahead and calculate the variances for each. The first variance I'm gonna calculate using google sheets. So I'm gonna type equals var open parentheses and then just highlight everything I want. I know have an extra box in there. That's not a big deal. And there is my first variant. Second variants will be found the exact same way it looks like it already knows what I want, which is great. And there is our second variance. Alright, so from there I need to find my f statistic. Okay, so my F statistic is just going to be the greater variance divided by the smaller variance and there we go, there's my f statistic. Once I found my F statistic, I'm ready to find my P value. Actually. Sorry, scratch that. Once I find my F statistic, I'm almost ready to find my P value. But there's one more step in order to find a P value. Using google sheets with an F statistic. First need to calculate degrees of freedom. Okay, very easy to do in google sheets. So degrees of freedom is just all the data, the amount of data you have minus one. So how do you find that? Google sheets is equals count. Just highlight everything. I have noticed how I do have an extra box there. That's not a big deal to subtract one. And that I have 20 in this case 24 degrees of freedom. And in our second case again equal count Open parentheses, highlight everything and I do need to subtract one. And the other case have 15 15 degrees of freedom. Okay, so now I'm ready to find my P. Value. So my P value uh through here is going to be something called an F. Distribution or F. Dist. And then open parentheses. I need to put three values. Number one, my F statistic. The second value is going to be the number of entries from S one squared. I'm sorry the degrees of freedom from s one square in this case is 24. And my last and final value is the degrees of freedom from my S two squared. So that's right here. I close all that up and there is my P value. However, I'm not quite finished yet. Okay, that is a P value for a one tailed distribution. What do I mean by that? That's a good P value. If that was a greater than or less than sign, this is a not equal to sign. Okay. That's not equal to sign. Which means um uh that which means that I have actually had the wrong P value right now. Since this is for a one tailed distribution and I need a two tailed distribution because they're not equal sign, I need to take this value multiplied by two. So equals I click on the value multiply symbol in google sheets. Asterisk hit A two and I'm done. That is my P value. Notice that P value is just a touch above 0.05, meaning I'm going to fail to reject the no hypothesis. I'm gonna fail to reject. And all hypothesis

Hello. Shouldn't No way would conduct in this question. This is crushed worse and a support. There are currently 300 females, so 300 are three Teligent female northern sported calls 600 out of 3690 are juvenile. 200 then are so adult. So it'll and don't be 100 are dead abs. So after five years on the business division, given this is given no plus and 4 to 1 so day and plus one invented toe equal to zero point 33 a one into question. Oh, it is given our jato 0.23 even which is job. 133 and a one, Which is good Question 2100. So in 2100 which gives which gives our six 93 And after five years, so multiply with five. So this is equal to 3465 on this is Joe 0.18 in tow. First year, uh, this is don't be 100. So this is equal to it's a 36 straight and for five years were deployed with 55 major After five years. This is equal 18 40 summer jobs it gives 2100 23 Eder's on our provide. The Heiress No more adult. After five years, 2123 into five, just upper five years. This is a number of others and be we can conclude that the number off all's linearly decorating and see if, uh, forest management you can pick them, then their population will encourage.


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