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MATLAB: An Introduction with Applications
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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10-1. Consider the hypothesis test Ho:u, = u2 against H:u, #u2 with known variances o, = 10 and o2 =8. Sup- pose that sample sizes n, = 10 and n2 = 15 and that x = 4.7 and X =7.8. Use a = 0.05. (a) Test the hypothesis and find the P-value. (b) Explain how the test could be conducted with a confidence %3D %3D interval. (c) What is the power of the test in part (a) for a true difference in means of 3? (d) Assume that sample sizes are equal. What sample size should be used to obtain B= 0.05 if the true difference in gO means is 3? Assume that = 0.05.9
Transcribed Image Text:10-1. Consider the hypothesis test Ho:u, = u2 against H:u, #u2 with known variances o, = 10 and o2 =8. Sup- pose that sample sizes n, = 10 and n2 = 15 and that x = 4.7 and X =7.8. Use a = 0.05. (a) Test the hypothesis and find the P-value. (b) Explain how the test could be conducted with a confidence %3D %3D interval. (c) What is the power of the test in part (a) for a true difference in means of 3? (d) Assume that sample sizes are equal. What sample size should be used to obtain B= 0.05 if the true difference in gO means is 3? Assume that = 0.05.9
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