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Please help me with any of these if you can. I reallyappreciate any help! 1.) In

ID: 2954031 • Letter: P

Question

Please help me with any of these if you can. I reallyappreciate any help!
1.) In a large experiment to determine the success of a new drug,500 patients with a certain disease were given the drug. If morethan 340 but less than 385 patients recover, the drug is considered73% effective. a) Find the level of significance of this test
b) If the drug is 76% effective, find the probability of the typeII error


2.) Let X1, X2, ... , Xn be iid U(0, theta).
a) Find the maximum likelihood estimator of theta
b) Find the cumulative distribution function of theta = max(Xi)
c) Find the pdf of Theta
d) Compute E(theta)
e) Find a (1-alpha)100% confidence interval for theta
f) For what values of k is k times Theta unbiased?


3.) Let S= sqrt((summation i=1 to n of (Xi - Xbar)^2)/n-1) be thesample of standard deviation for a random sample from a normalpopulation, find the E(s).


Please help me with any of these if you can. I reallyappreciate any help!
a) Find the level of significance of this test
b) If the drug is 76% effective, find the probability of the typeII error


2.) Let X1, X2, ... , Xn be iid U(0, theta).
a) Find the maximum likelihood estimator of theta
b) Find the cumulative distribution function of theta = max(Xi)
c) Find the pdf of Theta
d) Compute E(theta)
e) Find a (1-alpha)100% confidence interval for theta
f) For what values of k is k times Theta unbiased?


3.) Let S= sqrt((summation i=1 to n of (Xi - Xbar)^2)/n-1) be thesample of standard deviation for a random sample from a normalpopulation, find the E(s).


Explanation / Answer

I think I figured out how to do question 3.) and part a) of question 2.), but help with question 1.) or any of the other parts of 2.) would be great.

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