5

Variance2 Heights of many individual plants were measured for plants oftwo varieties Find summary statistics for both plant varietiesUse R to calculate and report t...

Question

Variance2 Heights of many individual plants were measured for plants oftwo varieties Find summary statistics for both plant varietiesUse R to calculate and report the following for each variety: sample size t mean, sample variance; first quartile, minimum, median, maximum; third quartile, inter-quartile rnge:

Variance 2 Heights of many individual plants were measured for plants oftwo varieties Find summary statistics for both plant varieties Use R to calculate and report the following for each variety: sample size t mean, sample variance; first quartile, minimum, median, maximum; third quartile, inter-quartile rnge:



Answers

A sample of 20 plants from a population was measured in inches as follows: 18,21,20,23,20,21,20,22,19 $20,17,21,20,22,20,21,20,22,19,$ and $23 .$ Calculate (a) the mean, (b) the variance, and (c) the standard deviation.

So here we have selected a plant from a two different samples of soil that produced 23 tomatoes. We want to decide whether it's in the top 16% of either soil sample, so we'll start with our 1st 1 Army nous 17 and our standard deviation is five. So we'll start by labeling. Our occurred we have 17 is are mean and then at the first Energy Aviation's we have 12 and 22 have the second standard deviations. We have seven and 27. So now, because it's normally distributed, we are can add the percentages that fall between standard deviations. So from our mean tow our first inter deviation as 34% of the data from the first inter deviation to the second is 13.5% and beyond. The second center deviation is to put by percent. So since we're looking for the top 16% that encompasses from the first inter deviation upward because 13.5 plus 2.5 is a 16%. So now we want to decide whether our sample plant falls within this area and it does because it is found here a 23. So we know that for our first sample that yes, our plant is in the top 16% for our second sample. We have a means of 18 and its energy ation of six. So we'll start by labeling our curve again. We have our remaining 18. Our first interview, aviation's. We have 12 and 24 at the second Seder Deviations. We have 30 and six and I have shaded in the top 16% again, which is again from the first standard deviation upward that our plant is located to the left of the first inter deviation. So it's not included in the area shaded, which means that no, it's not in the top 16%.

So we're going to start this problem by putting our data in numerical order. So that's going to give me a 10 12 23 23 24 25 26 28 20. Done soaring on 34. So put the numbers in order because then you can see where the middles are and make it well, easier on yourself. Range. Take your top monitor bottom. So 31 minus 10 means that my range is 21. This is my range as far as my I. Q. Argos, I need to find some court trials. So I need the middle. So find the middle of your data. That's gonna be the middle number. So we're not going to use that number. That's our median. But on the bottom, this would be your bottom number. That's the middle down there. This is the middle of here, so your I Q r is gonna be 29 minus 23 which is six. Now, if you're gonna test for out liars, you're gonna take that I Q R times one point, uh, which gives you not so we can't be more than non under the lower or non above the upper. So taking your your quartile, you're gonna subtract it from the bottom one, which gives you 12 notice that 10 is less than 12. So definitely have an outlier down there on the top in, you have 29 plus nine, which is 38 and 31 falls within that 30 that number. So we're good on the top it So what we have We have a range of 21 an I Q. R of six and one outlier at the bottom of Burdick.

Alrighty. So for number 36 were given two different sets of lists. We have List A and List B, and we are asked to just basically review everything by finding the mean median, very concerned deviation of each list. So to start off with the mean, remember that you need to add a all the numbers and then divide by the number of items that are in that list. So there are 123456789 10 numbers in that list. So we're gonna go ahead and do one plus two plus two plus two calculators and see what we get. So one close to pursue was to oppose To was three for three for three, plus three. Close four adds up to 25 25 divided by 10 is going to be two point fun. All right, so that our median is when we go looking at our list and we see where it's gonna be it right down the middle. And so it's going to end up being halfway between the two and the three. So halfway between two and three is 2.5 now, for the sake of time I'm going to vote a desk most dot com and input my list on desk most dot com and be able to quickly and efficiently calculate the variances Inter deviation using this list right here. So we go to desk most dot com and we're in a click start graphing, And in order to get the variation, you're gonna type V A r for variation and P for population and your list your numbers with commas in between them. So I'm gonna do that right here, so v AARP parentheses are very important. If you forget the parentheses, it's not gonna do the variation for you. So I'm gonna start typing in one comma, two comma, two comma, two from a to 33 33 and four. And in this lower corner here, that's our variation 0.6 fives. I'm gonna go ahead and write that down. Real quick variation is 0.65 And to get the city deviation, we can square root 0.65 or I'll show you a quick on dust. Most that if you type S t d e V first in deviation on the P for population of your list and then you can re type your list if you wish. Or if that is sounding too tedious, you can control, see copy and paste, and they again make sure that there's only one set of parentheses that's gonna make a difference. All right, so 0.8 roughly is our or 81 is going to be our sooner deviation. So 0.81 is our CNN aviation. So we're gonna go to and through the same thing for Let's Be So Notice how Let's be changed. Basically, this, uh, one of the twos became a one, and one of the three is became a force. We'll see how that effects. I'll mean median variants and Senator Deviation based on those flight changes. So we're going to add up the numbers and it's still tending the list. So we're going to add one plus one plus two plus two plus two plus three plus three plus three plus four plus four, and we get 25 again. So we still end up having the same mean so that's kind of interesting on then. Our median was not affected. It's still right down the middle between that, too, in that three so 2.5. So the mean the median happened to be also the same thing in this case. So I'm going to do the same thing that I did before with the variants and this in aviation. I'm gonna go to desk most dot com. And what's nice is, since this list was very, very close to being what it was in a all I'm gonna have to do is just make a slight change here and remember, changed that 13 to a four. And there we have our new variation tackle it for us in an instant. So I know you're probably like saying, Well, why didn't we do this all the time? Sometimes you need to know how to do things by hand in case you are not allowed toe, you know, have these sort of tools on, say, like a test or quiz or what not or send your battery dies on your chromebook or your laptop. You might need to just have a basic calculator, do the job for you. So all right, so that's a variance. And then we'll just do the same thing with an aviation change that to a one change that to a four and our center deviation as 1.2 mental right down it. Yeah, All right,

But all right, so for number five, we need to find the variants listening deviation. Before we do that, we have to find the means of all of these numbers in the given list. So this list is pretty large. Turns out there are 17 numbers in this list. So what you're gonna have to do then is add up all those numbers and then divide by 17. So we're gonna do that first. Um, so we're gonna have 43 plus 56 plus 78 plus 81 plus 47 plus 42 plus 34 plus 22 plus 78 close 98 plus 38 plus 46 plus 54 plus 67 plus 58 plus 92 plus 55 altogether gets us 989. So we're gonna write down 989 here and we to divide by 17. He and we're going to get a decimal that we're gonna have two rounds that were in around the nearest town, so you should get 58.2 approximately. Now. This 58.2 this mean is very important because that's how we could measure the spread or the variance from the mean. So we're going to use Bean and bitterly suffuse all of these numbers in this list and subtract this number from the mean with the mean And then we got a square it. Now, the reason why we square everything is because we want to keep things positive so again, Army and is 58.2 and we're going to reuse this number several times in this list of 58 point to 50 point there, 58.2, 58 0.2 stone. Yeah. I mean, is very important to get to use quite often in these problems. Hey, Stared. This is one of the longer ones because the list is so long not gonna have this long of a list. And if you have access to doing something with technology, like to be able to find this with technology and get your allows that that's 100% okay. But that's just how you show your work if you are required to. All right, so we're gonna subtract and square, so really go ahead and go through the list and do that. So 43 on a 58.2 gets me a negative. But remember, when you square negative, you get a positive. So you should get to 31 0.4 for that 1st 1 56 minus 58.2 squared gets us 4.84 You're OK. 78 minus 58.2 Squared 3 92.4 81 minus 58.2 Squared 5 19.84 47 minus 58.2 squared. Get this 1 25.44 40 to minus 58.2. Squared gets us to 62.44 and then ready for the next column. 34 minus 58.2. Squared gets us 5 85.64 20 to minus of the 8.2 on. Dsquared gets US 13. 10.44. It's a bigger number. All right, 78 minus 58.2. Gives us 19.8 squared. It's US 3 92.4 Okay, 98 minus 58.2 squared. It's this 15 84. That's a 12 0.4 All right. 38 minutes 58.2 squared. Get this. 408.4 46 minus 58.2. Gets a snake it of 12.2, but were squaring that we get a positive 1 48 0.84. Then 54 minus 58.2. Squared gets a 17.64 on this last call. Okay, 67 minus 58.2 is 8.8 and we square that 77.44 look a little nicer. 0.44 All right, 58 minus 58.2 squared. Get this point. 04 90 to minus 68.2 and then squared. Get this. 11. 42 point 11. 42 point for four. Your point for now. Okay. And then 55 minus 58.2 squared gets us 10.24 So after all that tedious work, I know that was a lot because our list was so big. Um, we're going to need to actually get the variation. So we get the variation by taking all three numbers in these columns, and we'll add them all up and find the average of that that was just the various. So it will take a little bit, but it will be fine. So we got to 31.4 plus four 0.84 plus 3 92.4 plus 5 19.84 plus 1 to 5.44 plus 262.44 plus 5 85.64 plus 13 10.44 plus 3 92.4 1584.4 plus 4 8.4 plus 1 48.84 plus 17.64 plus 77.44 plus 0.0 for plus 11. 42.44 This was before for and then last, but at least 10 0.24 We add all those up and we get a grand total of 7000 212.44 We divide by 17 and that will definitely to be rounded. It's 424.3. We take that 424.3 and we need to now use that to get the standard deviation so the sooner deviation is always a square root of the variants that we just got. So we're gonna square root the 4 24.3 and I think that look a little bit nicer. And then we get approximately 20.6 rounded to the nearest tense of make sure circle or square, your Final Two answers air the variance and the senior deviation as 20.6 for number five.


Similar Solved Questions

5 answers
Constant (in terms of partial _ pressures) at 1009C is 11. For the reaction given below, the equilibrium NzOa(g) + 2NO2(g) What iS the partial pressure of Nz04? At equilibrum the partial pressure of NOz IS 2.0 atma) 4.0 atmb) 5.5 atmc) 0.36 atm0.18 atm
constant (in terms of partial _ pressures) at 1009C is 11. For the reaction given below, the equilibrium NzOa(g) + 2NO2(g) What iS the partial pressure of Nz04? At equilibrum the partial pressure of NOz IS 2.0 atm a) 4.0 atm b) 5.5 atm c) 0.36 atm 0.18 atm...
5 answers
Using Lagrange's interpolation formula find y(0.25) from the following table:Ixlo.2 104 lo.6c lo.8 ylo.12/0.48/0.12Write 3-decimal plates
Using Lagrange's interpolation formula find y(0.25) from the following table: Ixlo.2 104 lo.6c lo.8 ylo.12/0.48/0.12 Write 3-decimal plates...
5 answers
Steel beam being used the construction of skyscraper has length of 38.000 when celivered On cold day at & temperature of 10,000PF. What the length of the beam when being installed later on warm day when the temperature 000"F? (Givc your answcr at Icast fivc Signliicant fiqures:Need Help?1a
steel beam being used the construction of skyscraper has length of 38.000 when celivered On cold day at & temperature of 10,000PF. What the length of the beam when being installed later on warm day when the temperature 000"F? (Givc your answcr at Icast fivc Signliicant fiqures: Need Help? 1...
5 answers
Considering the Critica event in statistical system How are the layout parameters defined? What are critical exponents and how many critical exponents are there? How are the relations between these critical superiors obtained? What are the values of these critical exponents in the Landau-Ginsburg theory?
Considering the Critica event in statistical system How are the layout parameters defined? What are critical exponents and how many critical exponents are there? How are the relations between these critical superiors obtained? What are the values of these critical exponents in the Landau-Ginsburg th...
5 answers
We define a permtation matrix to be square MITIX Uluat has @xactly one InI eVety IOW and one in eVety column Ad Huas al other enries equal (o /eTO Prove that eVety permutation mattix inventible ad that its inverse its transpose.
We define a permtation matrix to be square MITIX Uluat has @xactly one InI eVety IOW and one in eVety column Ad Huas al other enries equal (o /eTO Prove that eVety permutation mattix inventible ad that its inverse its transpose....
5 answers
Tre atla are tully contractedImmediately before the waveimmediately aftcr the waveduring the $-T segmentimmediately after thc waveduring the Q waveQuestion 181p6Which of the following has the most important and immediate effect on blood FLOW?Vessel lengthBlood viscosityHematocritVessel radiusDod osmolarlty
Tre atla are tully contracted Immediately before the wave immediately aftcr the wave during the $-T segment immediately after thc wave during the Q wave Question 18 1p6 Which of the following has the most important and immediate effect on blood FLOW? Vessel length Blood viscosity Hematocrit Vessel r...
5 answers
In parts (A)-(C), find the indicated quantity for y=fx)=9-X84-8 fl-2th)-f6-22 -[7 (B) f( - 2+h)-f(-22 (C) lim h-0
In parts (A)-(C), find the indicated quantity for y=fx)=9-X 84-8 fl-2th)-f6-22 -[7 (B) f( - 2+h)-f(-22 (C) lim h-0...
5 answers
Write each decimal as a percent.$$0.004$$
Write each decimal as a percent. $$ 0.004 $$...
5 answers
Find f(x) by using the definition of derivation forf(x)=x^5?
find f(x) by using the definition of derivation for f(x)=x^5?...
5 answers
An object moves in a circle of radius 22m with its speed givenby v = 3.6+1.5t2, witha v in meters per secondand t in seconds At t in seconds.At t = 3.0s, find(a) the tangential acceleration(b) the radial acceleration.
An object moves in a circle of radius 22m with its speed given by v = 3.6+1.5t2, with a v in meters per second and t in seconds At t in seconds. At t = 3.0s, find (a) the tangential acceleration (b) the radial acceleration....
5 answers
BJ? P(Aor findingequation best I following is the 1 i4 which 8 M 1 events Aand B are 2 Question 3 2 ? 38 1 P(A)
BJ? P(Aor finding equation best I following is the 1 i4 which 8 M 1 events Aand B are 2 Question 3 2 ? 38 1 P(A)...
5 answers
About the X-axis. 1 1 1 the region bounded by the given revolving generated by 1 V Find the
about the X-axis. 1 1 1 the region bounded by the given revolving generated by 1 V Find the...
4 answers
36. The normal process occurring on Earth that warms its surface and the lower atmosphere is calledthe ozone hole:incomplete combustionthe greenhouse effectphotosynthesis_vaporization water;
36. The normal process occurring on Earth that warms its surface and the lower atmosphere is called the ozone hole: incomplete combustion the greenhouse effect photosynthesis_ vaporization water;...
5 answers
Points)Consider the system of differential equations91 + 312, 3y1 + Y2:Verify that for any constants C1 and C2 the functionsy1 (t) y2(t)Ceit + Cze Gett Czesatisiy the system of differential equations. Enter C1 as C1 and C2 as c2Find the value of each term in the equation y;91 + 3y2 in terms of the variable t. (Enter the terms in the order given )Find the value of each term in the equation y2 391 92 in terms of the variable t. (Enter the terms in the order given:)
points) Consider the system of differential equations 91 + 312, 3y1 + Y2: Verify that for any constants C1 and C2 the functions y1 (t) y2(t) Ceit + Cze Gett Cze satisiy the system of differential equations. Enter C1 as C1 and C2 as c2 Find the value of each term in the equation y; 91 + 3y2 in terms ...
5 answers
MeOHCHOOHOHNaBHa(CHzOJnKOH; MeOHOHNHz
MeOH CHO OH OH NaBHa (CHzOJn KOH; MeOH OH NHz...
5 answers
1 2 8 1 1 1 Kollody winning Ino [uckpol 1 Iaction , 0 ola Ickol /5 1
1 2 8 1 1 1 Kollody winning Ino [uckpol 1 Iaction , 0 ola Ickol /5 1...

-- 0.023330--