# Project 9 KEY - Project 9/Power total points 20 Name _ UWEC...

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Name ________________________ UWEC ID# __________________ Project 9 /Power__________ Use complete sentences when appropriate; u se complete mathematical sentences when appropriate. Failure to do so may result in a lower score. S how all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy of your results and explanation. If you present parallel solutions , I will grade the lesser of the two. Power is the probability that we reject the null hypothesis when the alternative hypothesis is assumed to be true. We will construct a Power Curve. Null: = 105 Alternative: r > 105 A simple random sample of size 35 is obtained from a population with =12. If the researcher decides to test this hypothesis at the = 0.10 then compute the power and draw the power curve. State the necessary assumptions:Central Limit Theorem We will assume that the sampling distribution of the sample mean is approximately Normally distributed with μx approaches the = 105 And the standard error σx approaches σ/ √n = 12/√35 = 2.03 Construct the decision rule using the classical method. If the sample mean is greater than the decision maker of (105) + 1.282(12/√35) = 107.599461, then reject the Null hypothesis. If the sample mean is less than or equal to the decision maker of (105) + 1.282(12/√35)

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## This note was uploaded on 05/17/2010 for the course MATH 246 taught by Professor Applebaugh during the Spring '10 term at University of Arkansas Community College at Morrilton.

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Project 9 KEY - Project 9/Power total points 20 Name _ UWEC...

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