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. a) Assume that the classes are successful but the conclusion is reached that the classes might not be successful. Which type of error is this? b) Assume that the classes are not successful. Is it possible to make a Type I error? Explain. c) Assume that the classes are not successful. Is it possible to make a Type II error? Explain.

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Description: 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.

a) Type I error: Rejecting the null hypothesis when it is true. Type II error: Accepting the null…

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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. a) Assume that the classes are successful but the conclusion is reached that the classes might not be successful. Which type of error is this? b) Assume that the classes are not successful. Is it possible to make a Type I error? Explain. c) Assume that the classes are not successful. Is it possible to make a Type II error? Explain.

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