What is Test: Definition and 1000 Discussions

Homework Statement When calculating the P-value, must you change the sign of the test statistic depending on the type of test (lower, upper)? For example, if your calculated test statistic is t=2.5 and you want to perform a lower-tailed test, is your answer the cumulative probability of...

Homework Statement Two bodies of masses M1& M2 resting on frictionless surface. Bodies touch each other without any friction. What will be the force between the bodies, If they are pushed from one end with force F and both are accelerating towards other end? Answer given is (M2 x F)/(M1+M2)...

Homework Statement For bacteriological testing of water supplies and in medical clinics, samples must routinely be incubated for 24 h at 37°C. A standard constant temperature bath with electric heating and thermostatic control is not suitable in developing nations without continuously operating...

If I adopt a level of significance of 5% for data which is normally distributed, and I am adopting a two-tailed test, then I see no reason to mess with standardizing my data and looking at the probability tables, but rather to simply reject anything outside of two standard deviations away from...

The Problem: Let a(n) = (n^2)/(2^n) Prove that if n>=3, then: (a(n+1))/(a(n)) <= 8/9 By using this inequality for n = 3,4,5,..., prove that: a(n+3) <= ((8/9)^n)(a(3)) Using the comparison test and results concerning the convergence of the geometric series, show that: The...

Homework Statement Use the Ratio Test for series to determine whether each of the following series converge or diverge. Make Reasoning Clear. (a) \sum^{∞}_{n=1}\frac{3^{n}}{n^{n}} (b) \sum^{∞}_{n=1}\frac{n!}{n^{\frac{n}{2}}} Homework Equations...

Homework Statement The problem is part of a review and we are only to determine if the series converges or diverges by any test, and state the test. ##\sum_{n=1}^\infty(\frac{k}{k+1})^k## My work so far I know that the root test gives an inconclusive answer and from there I moved...

Hi, Without using l'hopital, how may I show that sin[(10pi)/(n+1)^2] / sin[(10pi)/n^2] converges?

Hi, How may I know whether the series ((-1)^n)[cos (3^n)x]^3/(3^n) converges/diverges?Should I use the Leibniz Criterion? It is stated that (cos a)^3 = (1/4)(3cos a + cos 3a)

Homework Statement Use any method or test to see if the series converges or diverges. Homework Equations The series: ((1/n) - (1/n^2))^n The Attempt at a Solution Well the integral test won't work because there's no real integral for that according to Wolfram Alpha. Also if you...

Homework Statement A mass m is suspended from a spinning rod by two massless cords of equal length L, held fixed at points along the rod D meters apart. It is observed that m moves in a circle with a tangential velocity v, find the ratio of the tensions between the two supporting cords...

Hello Everyone! I'm trying to remember a quick method for determining whether a function is concave or convex. There was something that involved finding the Hessian of the function, and then looking at the diagonal elements, then, I completely forgot... What's the rest of this method, I don't...

Hello, I need help with 2 homework questions: Also this question:

Well, I decided to take the math GRE subject test. The score I received was actually quite a shock to me: 560 scaled score and 27% below (eww). I was getting 70-80% of the questions right on the two practice tests, and afterwards I felt like I knew around 60-70% of the questions. I must have...

∞ Ʃ (((n)!)^3)/(3(n))! Use the ratio test to solve n=1 So first i put it into form of (n!)^3/3n!, then applied ratio test. from ratio got ((n+1)!)^3/(3n+1)! times (3n)!/(n!)^3 from here I am on shaky ground i go reduce the terms to (n!)^3(n+1)^3/(3n!)(3n+1) times...

I am trying to understand something in the proof of the ratio test for series convergence. If a_{n} is a sequence of positive numbers, and that the ratio test shows that \lim_{n→∞}\frac{a_{n+1}}{a_{n}} = r < 1, then the series converges. Apparently, the proof defines a number R : r<R<1...

This was a recent experiment done to determine the epistemic versus ontic status of ψ: Can different quantum state vectors correspond to the same physical state? An experimental test http://lanl.arxiv.org/pdf/1211.0942.pdf

Homework Statement In a random pattern of eight bits used to test a micro-circuit, each bit is equally likely to be 0 or 1. Assume the values of the bits are independent. a. What is the probability that all eight bits are 1? b. What is the probability that exactly three of the bits are...

Is it possible to impress a committee for (science) graduate school applications with GRE general test scores? What about with the non-math sections? Would even a perfect score or close to it on one of the sections stand out, or would it still just be a litmus test that doesn't really make you...

Consider a one-sided (greater than) hypothesis tests. For a given level of significance we can find the quantile which satisfies From the standard Normal Table, find the approximate quantiles for and and indicate which of the following statements is correct.Select one: Is it the...

Homework Statement The blackbody radiation equations of state are E/V=aT^(4) and P=(1/3)(E/V). From the fundamental state derive a quantity involving only P and V that remains constant when this radiation undergoes a reversible adiabatic transformation. Homework Equations Maybe...

Homework Statement 1. What happens to D = fxxfyy - (fxy)2 at (0,0) for f(x,y) = 9x4 - 6x2y2 + y4? Classify the critical point at (0,0). 2. How about if f(x,y) = (y - x2)(y - x4) ? Homework Equations See above ^. The Attempt at a Solution 1. Okay, so after taking all the partial...

Homework Statement Use the ratio test to find the radius of convergence and the interval of convergence of the power series: [[Shown in attachment]] Homework Equations an+1/an=k Radius of convergence = 1/k Interval of convergence: | x-a |∠ R The Attempt at a Solution I...

Hello, I am currently assigned to perform a drop tests on a unit that we sell. Thing is that I am an Electronic Engineer so I am not best at mechanics. I am wondering whether you can calculate forces and required material strength to withstand the drop test. The reason I am asking is...

1. Is 1/(√(2n-1) convergent? 2. I have tried the first comparison test: an= 1/(√(2n-1) and bn=1/(n1/2. 0<=an<=bn. But bn diverges so we get no information. I have tried the second comparson test and let bn=1/n. But an/bn=∞ so once again I get no information. I have tried the ratio...

Hi all, If a,b,c,d are position vectors of four points A,B,C,D.The points will be coplanar if xa+yb+zc+td=0,x+y+z+t=0,provided x,y,z,t are not all 0,and they are scalars.Is this test needed to show 4 points are coplanar? If we consider two lines joining A,B and C,D then this will give us two...

Hello again! I have to finish a home test for tomorrow (4pm). I am struggling basically with #2, #5 and #6. Why? because my professor is really old. just so you get an idea, she was the FIRST lady to graduate from EE from University Of Puerto Rico Mayaguez (no bull). She barely can walk or...

Homework Statement The test has two parts. In Part A, you predict the results and give qualitative reasoning and in Part B, you actually calculate the values and verify if your predictions and the calculations are in agreement, and then give correct physics reasoning. Consider three events...

Hello! I have a question about seat belt force. In a 55km/h collision maximum chest acceleration is 60 g, and if say torso weighs say 40kg, then max force should be 600 m/s^2 * 40kg, which equals a lot, but if you look at test data of seat belt force it is only 8KN which is strange, compared to...

Homework Statement I attached a file that includes the author's solution, and some of my work. Homework Equations The Attempt at a Solution

Homework Statement This is an introductory programming class for Engineering majors. So I am making a simple game. It requires that you enter say, 3 numbers, then test to see if the sum of the numbers is even or odd. If it is even you win, odd, you lose. The game repeats several times, and...

Hi, I want to know what is the best way to study for math test? Thanks

Homework Statement I attached the problem Homework Equations The Attempt at a Solution When I try to apply the nth-term test on the sequence, (-1)^n+1, I get an indeterminate form; so, I try to raise e to the ln[(-1^n+1)], but I run into the same problem. How do I take the limit...

I was just wondering for the limit comparison test does it matter which function is on the top and bottom?

Homework Statement We say that the displacement of a particle is a vector quantity. Our best justification for this assertion is: A. displacement can be specified by a magnitude and a direction B. operating with displacements according to the rules for manipulating vectors leads to results...

Homework Statement I attached the infinite series the question provided as a file. Homework Equations The Attempt at a Solution I deduced the general term to be ln(n)/n, so the infinite series would be written as \sum_{n=2}^{\infty} \frac{\ln(n)}{n} I took the derivative of the...

Homework Statement \sum_{n=1}^{\infty} \frac{1}{2^n} Homework Equations The Attempt at a Solution Could I some how manipulate this to fit a geometric series, so that I may instead use the geometric series test?

unfortunatly I failed my first physics exam. I have to go back through and correct the ones I missed. I need some help on the ones I am stuck on. any help and explanations is greatly appreciated. 1.) three blocks are being accelerated upward by a force applied to the bottom block. the mass...

Homework Statement I have to do the following practical, but I am unsure of how to calculate one of the variables. We are doing this test and we are given this information to calculate E. I have equations on how to calculate R and I, but I am not sure how to calculate M. It's...

1. Homework Statement [/b] 1. Charge A (-2uC) is 0.10m left of charge B (+3uC), with charge C (+4uC), 0.075m below charge B, forming a right angle triangle with the right angle at B. Find the net electrostatic charge on C if its confusing the 0.10 is the opposite of the hypotenuse with the...

Hi there, I'm quite interested in propositional logic. Can anyone point me to a document out there (preferably from a university website, e.g. a lecturer/Professor etc. of Philosophy's personal webpage) that explains, in a clear manner, how to test for validity using the Reductio ad Absurdum...

Hello all. I am performing chemistry experiments and recording the times of various observed results. What I am doing currently is performing the test several times in order to determine what result is "normal." My goal is to determine a range as a standard by which all future tests will...

I want to know how prospective is the field of PTE (Product and Test Engineering) compared to IC Design Engineers? What good may lie in future in this field? Also, how much digital/logic related work vs. analog work is done in PTE? Thank You

Homework Statement Test the following integral for convergence \int^{2}_{0}\frac{dx}{1-x^{2}} Homework Equations The Attempt at a Solution So far I have brought it down to \int^{2}_{0}\frac{1}{1-x}+\frac{1}{1+x} dx However, it seems that this integral produces a...

why the mechanical efficiency and brake thermal efficiency curve increases as load increases and reaches a maximum value and then again decreases( in contand speed test)

There has been quite a few studies on the difference in the neuralanatomy pertaining to ADHD/ADD patients. Can we use this for a more objective test for ADD/ADHD on patients...

Homework Statement One charged plastic ball is vertically above another in a test tube as shown. The balls are in equilibrium a distance "d" apart. If the mass of the upper ball is reduced by a factor of four, the distance between the balls in the test tube would become : 1) 4d 2) 8d 3)...

Hi, I am using thie χ2 test to fit a dataset in order to calibrate a sensor. \chi^{2} = \sum_{i}{{\left(y_{i} - (a_{0}+a_{1}*x_{i}+a_{2}*x_{i}^{2})\right)^2 \over \sigma_i^2}} The sensor delivers raw data x_{i} and the reference values y_{i} are measured with an instrument of far...

How much blood is lost when getting a blood panel and how long does it take to replenish?

Homework Statement Hi, I'm trying to prove the p-series test, using the integral test. Everything seems to work out fine until I get into this point: Consider when p≠1 (p=1 is easy to see that it diverges, so I will ignore that one). Then we have: ∫(n)^(-p) dn = [ 1 / (-p+1) ] *...