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Statistics / Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card 8 / Chapter 6 / Problem 6.119

Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card | 8th Edition | ISBN: 9781464158933 | Authors: David S. Moore, George P. McCabe, Bruce A. Craig

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SATM scores of California high school students based on an

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QUESTION:

SATM scores of California high school students based on an SRS of 500 students. The hypotheses are H0: m 475 Ha: m 475 Assume that the population standard deviation is s 100. The test rejects H0 at the 1% level of significance when z 2.326, where z x 475 100 1500 Is this test sufficiently sensitive to usually detect an increase of 10 points in the population mean SATM score? Answer this question by calculating the power of the test to detect the alternative m 485. 6.

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QUESTION:

SATM scores of California high school students based on an SRS of 500 students. The hypotheses are H0: m 475 Ha: m 475 Assume that the population standard deviation is s 100. The test rejects H0 at the 1% level of significance when z 2.326, where z x 475 100 1500 Is this test sufficiently sensitive to usually detect an increase of 10 points in the population mean SATM score? Answer this question by calculating the power of the test to detect the alternative m 485. 6.

ANSWER:

Step 1 of 8

From the question, given that the sample size is and the alternative population mean is . Additionally, the null and alternate hypothesis

We are also given that the population standard deviation is and the test rejects the null hypothesis at the level of significance with .

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