Statistics Homework Solution: Confidence Region and Hypothesis Testing, Assignments of Descriptive statistics

Download Statistics Homework Solution: Confidence Region and Hypothesis Testing and more Assignments Descriptive statistics in PDF only on Docsity! 1/3 Statistics 135 Spring Quarter 2009 Answers to HW #4 6.1 The 95% confidence region is determined by all d1 and d2 that satisfy this equation: ! "9.36 " d1 13.27 " d2( ) 0.0055 "0.0012 "0.0012 0.0026 # $ % & ' ( "9.36 " d1 13.27 " d2 # $ % & ' ( ) 9.47 /11= 0.86 where d1 = mu11-mu21, d2 = mu12-mu22. To form the confidence region by hand: Yes, the result is consistent with the hypothesis test result, since the test answers the question: Is δ = 0 inside the 95% confidence ellipse? 2/3 Since the hypothesized vector δ = 0 (denoted as  in the plot) is outside the joint confidence region, we reject Ho: δ = 0. Bonferroni C.I. are consistent with this result. After the elimination of the outlier, the difference between pairs became significant.