Recent content by LBJking123

That case you could divide the two equations, and then get xdx=ydy. Then I would integrate both sides to get the answer. That technique won't work for the original DE's though...

I tried solving by separation of variables, but I can't figure out how to get all of the x's to one side and y's to the other. I think I am totally missing something obvious...

I am trying to solve this system DE's to determine the systems First Integral. dx/dt = y+x2-y2 dy/dt = -x-2xy I am pretty sure I need to pick some different variables to use to make the equation easier to solve, but I can't get anything to work. I thought about letting a variable be x2y...

Ohhhhh I kept thinking it was going to be Ʃ(xiwi-(xiwi2)/Ʃwi)yi I makes more sense when you choose a separate index for each summation. Thanks for the help DrDu!

I need simplify this equation: Ʃwixiyi - (ƩxiwiƩyiwi)/Ʃwi Into an equation of the form: Ʃ(something - something)yi I am pretty sure the first something is xiwi, but I have no idea what the second something would be... Any help would be greatly appreciated. Thanks!

So would I want to do a z score, like on page three of that document? That seems like it would work better. Then, I get P(Z≥(1.75-.5)/SQRT(.25/4))=P(Z≥5)=0, which is less than 0.05 so I reject the null..?

Hi, I am trying to teach myself how to test hypotheses for any distribution, but am having some trouble. X=number chosen each year θ=Mean number chosen in the population H0: θ=.5 h1: θ>.5 The random sample of n=4 is 0,1,3,3 Test the Hypotheses at α≤0.05 assuming X is a...

Thanks chiro! We have covered both of those methods (binomial and likelihood ratio statistic), but I think we are supposed to use the binomial to do this one. This is what I have so far (I am not very confident): Sample average = 1.75 So, Reject H0 if P(X≥1.75, given that X is...

Hi, I am trying to teach myself how to test hypotheses for any distribution, but am having some trouble. X=number chosen each year θ=Mean number chosen in the population H0: θ=.5 h1: θ>.5 The random sample of n=4 is 0,1,3,3 Test the Hypotheses at α≤0.05 assuming X is a...

I am asked to determine if a test procedure is unbiased. I have the power function and all of that, but I can't figure out what I need to do to determine if the test is unbiased or not. I am guessing I need to find the expected value of the power function or something, but what is that...

This is the question: Suppose that X1...Xn form a random sample from the Bernoulli Distribution with unknown parameter P. Let Po and P1 be specified values such that 0<P1<Po<1, and suppose that is desired to test the following simple hypotheses: Ho: P=Po, H1: P=P1. A. Show that a test...

Ohh yeah that makes a ton of sense. Idk what I was thinking. Thanks!

f(x)=1, θ-1/2 ≤ x ≤ θ+1/2 Given that Z=(b-a)(x-θ)+(1/2)(a+b) how would you show that Z has a continuous uniform distribution over the interval (a,b)? Any help would be much appreciated.