Answered: The sum of the values obtained in a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The sum of the values obtained in a random sample
of size n = 5 is to be used to test the null hypothesis
that on the average there are more than two accidents per
week at a certain intersection (that λ > 2 for this Poisson
population) against the alternative hypothesis that on the
average the number of accidents is two or less. If the null
hypothesis is to be rejected if and only if the sum of the
observations is five or less, find
(a) the probabilities of type I errors when λ = 2.2, 2.4, 2.6,
2.8, and 3.0;
(b) the probabilities of type II errors when λ = 2.0, 1.5,
1.0, and 0.5.
Also, plot the graph of the power function of this test
criterion.

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