So, as far as I know, there are two χ2-tests: "test for fit of a distribution" & "Test of independence"
How big of a mistake is it to use the one instead of the other in an exam for example (of course all exams are all different to some degree, but generally)?
The only differences I can...
I'm reading a scientific article about the effects of alcohol addiction and withdrawal on brain-reward functioning in rats (file attached to this post) and am having some trouble understanding the methods used. How are brain-reward thresholds measured and monitored through ICSS? (Intracranial...
Homework Statement
Not really a problem, more of a general question. When exactly can you use the Divergence test. Does it only work on both series and sequences?Homework Equations
The series Diverges if lim ƩAn ≠ 0
The Attempt at a Solution
If you take the lim of the series n^3/2n^3 ≠ 0 there...
Homework Statement
I need to use the Comparison Test or the Limit Comparison Test to determine whether or not this series converges:
∑ sin(1/n^2) from 1 to ∞
Homework Equations
Limit Comparison Test: Let {An} and {Bn} be positive sequences. Assume the following limit exists:
L =...
Homework Statement
∞
Ʃ n / 2^n
n=1
Homework Equations
ratio test
lim |a(n+1) / a(n)|
n->∞
The Attempt at a Solution
I have the answer and the steps its just there's one part I am confused on,
first I just apply n+1 to all my n terms, which gives me,
∞
Ʃ...
Dear all,
I am using some software to perform a two-sample Kolmogorov–Smirnov test. Specifically, I am testing the compatibility of two histograms.
The function returns a single number that is 1 for a perfect match (when I compare the histogram to itself) and somewhere between 0.05 to 0.25...
Homework Statement
Ʃ √n/(ln(n))^2
from n=2 to ∞
Homework Equations
Series Test for convergent and divergent
The Attempt at a Solution
I tried doing ratio test and gotten
[√(n+1)*(ln(n))^n] / [(ln(n+1))^(n+1) * √n]
to find the limit, do...
In a parallel circuit, I know that the brightness stays the same even if you add more bulbs because the voltage is the same as the battery's in each bulb. But, if when you add resistors the REQ is lowered, doesn't that mean the current drops? And if the current drops and the voltage stays the...
Homework Statement
Is the series convergent or divergent? \sum_{n=0}^{\infty}{\frac{1}{\sqrt{n+1}}}
Homework Equations
I can use any test but wolfram alpha says that it is divergent by comparison test.
The Attempt at a Solution
How do I apply comparison test?
I can compare it to: \sum _{...
So this is my first post, I was wondering can you explain the first two examples of this page?
http://www.math.ubc.ca/~rathb/mar_6_p_4.jpg
What I don't understand is why, if there is a horizontal asymptote at p = 0.99 < 1 on first example, it diverges to infinity but in the second...
Homework Statement
Can you if given a sigma notation for an infinite series
Ʃ 2^n/(4^n+1)
rewrite as,
Ʃ 2^n/(4^n+1^n)
then doing the root test can you
lim n→∞ n^√abs((2/(4+1))^n)
which equals 2/5, and
2/5<1, therefore can i conclude that the series above converges?
Sorry...
Electric potential probelm! HELP PLEASE TEST TMRW!
Two uniformly charged spherical shells of radii R and 2R with identical surface charge densities σ are along the x-axis. The surface of each of the spheres is located a distance R from the origin O
Define the potential at ∞ to be zero.
Along...
Homework Statement
determine either absolute convergence, conditional convergence, or divergence for the series.Homework Equations
\displaystyle \sum^{∞}_{n=1} (-1)^n \frac{6n^8 + 3}{3n^5 + 3} The Attempt at a Solution
I cannot use the alternating series test since the function is increasing...
Homework Statement
Use any test to determine whether the series converges.Homework Equations
\displaystyle \sum^{∞}_{n=1} tan(1/n) The Attempt at a Solution
Direct Comparison Test
tan(1/n) > 1/n
By integral test: 1/n diverges thus, by dct, tan(1/n) diverges.
Homework Statement
So in the future, I will have to find out what is inside a black box:
Homework Equations
The Attempt at a Solution
Here is the solution to it: http://drunkenengineer.tripod.com/Year1/ele202/blackbox/blackbox.html
The issue is that I'm having trouble understanding why the...
I returned home yesterday from North Carolina and wanted to give an update via some pics.
In the motel the evening before her test.
https://imagizer.imageshack.us/v2/393x295q90/r/526/img0194hi.jpg
Doing a little tune-up at the Masters dojo the morning before the test...
I am trying to determine convergence for the series n=1 to infinity for cos(n)*pi / (n^2/3) and I am doing the Ratio Test. I found the limit approaches 1 but is less than 1. Does this mean that the limit = 1 or is < 1? I am somewhat confused since this changes it from inconclusive to convergent.
Homework Statement
I have a series
Ʃ(1 to infinity) ((-1)^n*n^n)/n!
Homework Equations
The Attempt at a Solution
apparently you cannot use the alternating series for this question, why is this? It has the (-1)^n, what else is needed to allow you to use the alternating...
im trying to calculate the drop force of falling object. we do drop test at my work and believe the figures are wrong. we drop a 24.75lb weight from different heigths to check parts . they have it now set that dropping the given weight from 1 ft only produces 24.75 ft/lb force and they add 24.75...
Hi,
If I have a sample of 150 data how to chose between tests of exponentiality?
I mean is there any way to find the most appropriate test for my case judging on my data number,or maybe skewness, kurtosis, etc?
Or there are 2 or 3 frequently used tests (Pearson maybe) which are most used...
Homework Statement
use limit comparison test.
Homework Equations
\displaystyle\int_2^∞ {\frac{1}{\sqrt{x^2 - 1}} dx}
The Attempt at a Solution
I have tried usin 1/x as the comparison function, but when applying the test it
comes out to 0, not an L -> 0 < L < ∞
Hi
Just got the data from a tensile strength test on a axle we did in school.
Before it broke:
http://i.imgur.com/1ddrZ7j.png
The data :
https://www.dropbox.com/s/xf5m8m8gyco561n/data.txt
column 1: the displacement in mm
column 2: the force in kNI'm supposed to plot a stress strain diagram...
Homework Statement
Test for convergence or divergence.
Homework Equations
\displaystyle\int_0^∏ {\frac{sin∅}{\sqrt{pi-∅}} d∅}
The Attempt at a Solution
the solution manual does the following:
pi -∅ = x
\displaystyle\int_0^pi {\frac{sinx}{\sqrt{x}} d∅}
0 <=...
Homework Statement
Use direct comparison test or limit comparison test to determine if the integral converges.Homework Equations
\displaystyle\int_0^6 {\frac{dx}{9-x^2}}
The Attempt at a Solution
If i were to use the limit comparison test, would these integrals fit the criteria.
** if the...
Homework Statement
\sum ftom n=1 to \infty (-2)n/nn.
The Attempt at a Solution
limn->\infty | (-2)n+1/(n+1)n+1) x nn/(-2)n | = |-2|limn->\infty |(n/n+1)n*(1/n+1) |
If it were only (n/n+1) then would the answer be 2e? Either way, how do you sole this the way it is?
Homework Statement
The following data is hypothesized to possesses a normal distribution, is that hypothesis sustained by a Chi-square test at .05 significance:
<66...4
67-68...24
68-70...35
70-72...15
72-74...8
>74...4
The Attempt at a Solution
1. I know that I should...
Is there an easy way to see if a unitary group is cyclic? The unitary group U(n) is defined as follows U(n)=\{i\in\mathbb{N}:gcd(i,n)=1\}. Cyclic means that there exits a element of the group that generates the entire group.
Hi everyone,
I'm looking into building a test bench in my garage, as currently my parts are strewn about my kitchen table and computer desk. I'm mainly going to be working with my Arduino and doing computer building/electrical repairs, maybe some PCB etching once I learn how.
So far I'm...
I'm sorry - I know this is archived somewhere around here but I couldn't find it ...
Can anyone give me a link for the set of tests used to identify a crackpot (either the theory or its author). I've forgotten who had it on his website - someone at Princeton, maybe??
I've got a live one on...
help with practice test problem! curved rod with charge density??
Two plastic rods are curved. The left rod is a 120° circular arc of radius
R, and has uniform charge density λ. The rod on the right is a 120° circular
arc of radius 2R, and has uniform charge density -2λ. A point P is located...
I have a physics test in a week and am having trouble coming up with the proper equations to solve the problems. Does anybody want to offer hint or guidelines to solving these? I have been working on these but I don't think I am approaching the questions appropriately.
1) A 920-kg sports car...
Help with this confusing circuit! test tmrw! Find i across resistor.
http://imageshack.us/photo/my-images/202/circuitu.jpg/
my teacher lectures to fast and i don't understand the notes i put down. can someone explain this one to me please??
I have designed a test apparatus where I can apply known bending and torsion loads to thin sheets of foamed plastic.
All test samples will be identical sized sheets with various treatments to improve stiffness..with the added weight of the treatment recorded. I will use the information to...
I know that there are many web-sites that explain Pearson's chi-square test, but they all leave the same questions unanswered. First, to make sure I have the definitions right:
1) for a fixed population with standard deviation σ,a fixed number of degrees of freedom df=k, and a fixed sample with...
I was looking up info on this topic and came up with this article (http://eng.sut.ac.th/metal/images/stories/pdf/Lab_7Bend_Eng.pdf)... what I don't get is why it says that bending test for ductile materials isn't good.
"The stress is essentially zero at the neutral axis N-N. Stresses in...
When discussing the second partial derivative test in multivariate calculus, a reference is usually made to an elusive "higher order test" that one must defer to in the case that the second partial derivative test fails. Does anyone know the general form of these higher order test?
My first...
Homework Statement
A few examples done in class that I didn't understand are as follows:
(Find out if convergent or divergent)
integral 0-->infinity ( x / (x^3 + 1) )
integral 1-->infinity ( (2+e^(-x) ) / x )
Homework Equations
None
The Attempt at a Solution
Basically, I have NO idea...
Homework Statement
Using the limit comparison test to determine convergence or divergence
(1) \sum^{\infty}_{n=1} \frac{(ln(n))^{3}}{n^{3}}
(2) \sum^{\infty}_{n=1} \frac{1}{\sqrt{n} ln(x)}
(3)\sum^{\infty}_{n=1} \frac{(ln(n))^{2}}{n^{\frac{3}{2}}}
Homework Equations...
Test question: "Water has pH of 7. Which solution has a [H+] concen.."
1.
2. First of all, increasing [H+] concentration will give something more acidic. Since every jump between pH numbers is a 10 fold difference, I thought that to make a 100 fold difference, you would have to do...
Test question: "Respiring cells release CO2 into the bloodstream..."
1.
2. For this question, I was thinking about the nature of CO2.
It's not an acid or base, so how could it drop or raise the pH level?!
So I put that the pH level won't change (B), but the real answer is C (it will...
Test question: "How many carbohydrates in this food were contributed?"
=_= I think my other posts were deleted. So let me post them again with some revisions...
1.
2. Alright... I thought that maybe the percent daily value had something to do with calculating the answer. So on the test...
I am given 4 potential charges, 1V, 3V, -6V, and 5V, all arranged randomly around each other. There is a test charge located at infinity. No distances are given between the potentials.1. Where will a test charge of 2*10^-6 C travel?
2. What is its kinetic energy?
3. Find the capatinance of a...
I'm going to be reviewing some insulated sheets for lining walls. I want to set up an experiment to rank different types of sheet by their level of insulation.
I intend to use a digital thermometer with a probe (for example...
I had a midterm Friday I bombed. I never do that. I ended up dropping the class. I've felt horrible since then. I always get As. It was bad because I really liked the class. It was challenging, fun, interesting. Probably my favorite class of the quarter (advanced number theory). However, he...
Okay I'm currently doing a thrust block design for a water supply system. The new line is a 250mm line. The water is fed from water towers where council has said the operating head is about 30m. I've set up my thrust block program in excel and it is all working fine. The only trouble is I'm...
Homework Statement
A rod of negligible mass is supported by a hinge at the wall by a horizontal wire fastened at a 30 degree angle one-third of the way along the rod. A weight of 12 N hangs from the left end of the rod.
a) Find the tension (T) in the horizontal wire. (T = 62.2 N)
b) Find...