Suppose X1,..., Xn is a random sample from a distribution specified by the cumulative distri- bution function F(x) = 1- (K/x)ª for a > 0 and x > K > 0, where a is known. Consider testing Ho : K = Ko versus H1: K > Ko. Suppose we reject Họ when T: constant c < K. The sample size n such that the probability of type II error is less than or equal to a pre-specified B must satisfy min (X1,..., Xn) > c for some %3D

Suppose X1,..., Xn is a random sample from a distribution specified by the cumulative distri- bution function F(x) = 1- (K/x)ª for a > 0 and x > K > 0, where a is known. Consider testing Ho : K = Ko versus H1: K > Ko. Suppose we reject Họ when T: constant c < K. The sample size n such that the probability of type II error is less than or equal to a pre-specified B must satisfy min (X1,..., Xn) > c for some %3D

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Estimation

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Question

Suppose X1, ..., Xn is a random sample from a distribution specified by the cumulative distri-
bution function F(x) = 1- (K/x)ª for a > 0 and x > K > 0, where a is known. Consider testing
Ho : K = Ko versus H1 : Å > Ko. Suppose we reject Họ when T:
constant c < K. The sample size n such that the probability of type II error is less than or equal
to a pre-specified B must satisfy
min (X1,... , Xn) > c for some
%3D
%3D
log B
a log()
a) n <
log(1-3)
a log(5)*
b) n <
c) n 2
log B
a log()
d) n 2
log(1–3)
a log( )*

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