The focus of a human eye is measured in diopters. For a given person, the focus is modelled by a random variable with normal distribution N(μ, o) with mean μ and standard deviation o. Th focus under which eye correction for nearsightedness (myopia) is considered necessay is -3 diopters. The focus of a normal eye is larger than this value. Mr Y. got arrested for going through a stop sign, not wearing glasses. Throughout the exercise the threshold is set to 5%. Based on 3 measurements on Mr. Y, we have observed an average focus of -0.94. The hypothesis testing the policeman intends to do is H₁: μ> -3. a. Assuming the standard deviation known and equal to o = 1.6 diopters, the rejection region of the test statistics is (-∞, -1.645) O (-1.96, 1.96) * (1.645, ∞)
The focus of a human eye is measured in diopters. For a given person, the focus is modelled by a random variable with normal distribution N(μ, o) with mean μ and standard deviation o. Th focus under which eye correction for nearsightedness (myopia) is considered necessay is -3 diopters. The focus of a normal eye is larger than this value. Mr Y. got arrested for going through a stop sign, not wearing glasses. Throughout the exercise the threshold is set to 5%. Based on 3 measurements on Mr. Y, we have observed an average focus of -0.94. The hypothesis testing the policeman intends to do is H₁: μ> -3. a. Assuming the standard deviation known and equal to o = 1.6 diopters, the rejection region of the test statistics is (-∞, -1.645) O (-1.96, 1.96) * (1.645, ∞)
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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