# hw3-solution.pdf - Statistics 106 Homework 3 Solution Due :...

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Statistics 106Homework 3 SolutionDue : Oct. 22, 2018, In Class16.26Refer toRehabilitation therapyProblem 16.9.Obtain the power of the test in Problem 16.9(e) ifμ1=37,μ2=35 andμ3=28. Assume thatσ=4.5.
17.1A student, asked to give a class demonstration of the use of a confidence interval for comparing twotreatment means, proposed to construct a 99 percent confidence interval for the pairwise comparisonD=μ5-μ3, where there are a total of five factor levels. The student selected this particular comparisonbecause the estimated treatment means¯Y5.and¯Y3.are the largest and smallest, respectively, and stated:“This confidence interval is particularly useful. If it does not contain zero, it indicates, with significancelevel=.01, that the factor level means are not equal.”a. Explain why the student’s assertion is not correct.b. How should the confidence interval be constructed so that the assertion can be made with significancelevel=.01?Solution:
1
a type I error. The student made a comparison that was suggested by the data (finding the largest dif-ference between treatment sample means) such that the correct confidence interval should be wider

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Term
Spring
Professor
NoProfessor
Tags
Student s t distribution, Credible interval