Let N have the binomial distribution based on 10 trials with success probability p Given N n, let X1, , Xn be i i d normal with mean and variance one The data consists of (N, X1, , X N ) (i) If p has a known value p0, show there does not exist a UMP test of 0 versus 0 In fact, a UMPU test does not ...

The Answer is in the image, click to view ...

Let N have the binomial distribution based on 10 trials with success probability p. Given N =

Question:

Let N have the binomial distribution based on 10 trials with success probability p. Given N = n, let X1, ··· , Xn be i.i.d. normal with mean θ and variance one. The data consists of (N, X1, ··· , X N ).

(i). If p has a known value p0, show there does not exist a UMP test of θ = 0 versus

θ > 0. [In fact, a UMPU test does not exist either.]

(ii). If p is unknown (taking values in (0,1)), find a UMPU test of θ = 0 versus θ > 0.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Testing Statistical Hypotheses Volume I

ISBN: 9783030705770

4th Edition

Authors: E.L. Lehmann, Joseph P. Romano

See More Books

Question Posted: Nov 04, 2024 03:00 AM

See More Questions

Let N have the binomial distribution based on 10 trials with success probability p. Given N = n, let X1, , Xn be i.i.d. normal with mean and variance one. The data consists of (N,X1, , XN ). (i)....
Simplity each of the follewing ratios. f r 15 15kg:350 g 0.45:085 ( 580 ml: L121:104 m/ 40 033:063: 18
What is the overall trend in secondary storage devices?
A negative point charge q = -7.20 me is moving in a reference frame. When the point charge is at the origin, the magnetic field it produces at the point x = 25.0 cm, y = 0, Z = 0 is B = (6.00 T}j,...
Let N have the binomial distribution based on 10 trials with success probability p. Given N = n, let X1, , Xn be i.i.d. normal with mean and variance one. The data consists of (N, X1, , X N )....
The accounting records of Roberts Insulation, Inc., reflected the following balances as of January 1, 2013: Cash ................$36,000 Beginning inventory .......... 24,000 (200 units @ $120)...
In the current market conditions, should O Brien pursue his growth plans? If so , should these plans focus on product diversification ( brand extension ) , branded retail ( market development ) or...
Let X1, X2,... be a sequence of independent variables distributed as N(, 2), and let Yn = [nXn+1 (X1 ++ Xn)]/ n(n + 1) . Then the variables Y1, Y2,... are independently distributed as N(0, 2).
As in Example 3.9.2, suppose X is multivariate normal with unknown mean = (1,..., k ) and known positive definite covariance matrix . Assume a = (a1,..., ak ) is a fixed vector. The problem is to...
What is an object type and how is it used to develop specific types of classes?
Required information Potter Corp.(Potter) acquired 200 voting common shares of Slade Ltd.'s (Slade) on January 1, 2021 for cash of $8,000. At all relevant times, Slade had 1,000 voting common shares...
Draw the membership functions for the following sets: M: mature people Y: young people O: old people Classify a person who is, 18 years old, 21 years old, 42 years old, and 61 years old, Explain how...
Do the interest repayments over the 10 year life cycle go in the cash flows over the life in a capital budgeting report? Or are they not included at all? Does that last sentence make a difference?...
Describe the objectives and primary components of laws, relevant for the area where your RTO campus is, for each of the following: Area Objectives and primary components Anti-discrimination,...
Six Twelve Inc. is considering opening up a new convenience store in downtown New York City. The expected annual revenue is $800,000. To estimate the increase in working capital, analysts estimate...
A single square loop of wire 22.0cm on a side is place with its face parallel to the magnetic field between the pole pieces of a larger magnet. When 6.30 A flows in the coil, the torque on it is...
Subprime loans have higher loss rates than many other types of loans. Explain why lenders offer subprime loans. Describe the characteristics of the typical borrower in a subprime consumer loan.

Let N have the binomial distribution based on 10 trials with success probability p. Given N =

Question:

Step by Step Answer:

Testing Statistical Hypotheses Volume I

Students also viewed these Business questions