Scores on a certain IQ test are known to have a mean of 100. A random sample of 60 students attend a series of coaching classes before taking the test. Let μ be the population mean IQ score that would occur if every student took the coaching classes. The classes are successful if μ > 100. A test is made of the hypotheses H0: μ ≤ 100 versus H1: μ > 100. Consider three possible conclusions: (i) The classes are successful. (ii) The classes are not successful. (iii) The classes might not be successful. a) Which of the three conclusions is best if H0 is rejected? b) Which of the three conclusions is best if H0 is not rejected ?

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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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Scores on a certain IQ test are known to have a mean of 100. A random sample of 60 students attend a series of coaching classes before taking the test. Let μ be the population mean IQ score that would occur if every student took the coaching classes. The classes are successful if μ > 100. A test is made of the hypotheses H₀: μ ≤ 100 versus H₁: μ > 100. Consider three possible conclusions: (i) The classes are successful. (ii) The classes are not successful. (iii) The classes might not be successful. a) Which of the three conclusions is best if H₀ is rejected? b) Which of the three conclusions is best if H₀ is not rejected ?

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