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Course: MATH 373, Fall 2009School: University of Hawaii -...
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Math 373 Hw 35 Name ______________________________ Score ______/21 Hw 618: 15.4, 15.6, 15.10. Rec 618: 15.1, 15.3, 15.5, 15.7, 15.11. This time, use normal approximation, not Table 7 for T /2, T1- /2. Page 618. In 15.6, 15.4, and 15.10, use the Wilcoxon rank sum test. 15.4(8). Independent random samples of size n1= 20 and n2= 25 are drawn from nonnormal populations P1 and P2. The combined sample is ranked and T1 =...
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Math 373 Hw 35 Name ______________________________ Score ______/21 Hw 618: 15.4, 15.6, 15.10. Rec 618: 15.1, 15.3, 15.5, 15.7, 15.11. This time, use normal approximation, not Table 7 for T /2, T1- /2. Page 618. In 15.6, 15.4, and 15.10, use the Wilcoxon rank sum test. 15.4(8). Independent random samples of size n1= 20 and n2= 25 are drawn from nonnormal populations P1 and P2. The combined sample is ranked and T1 = 252. Determine if there is a significant difference between the two populations. T = Tmid = (Tmin+Tmax)/2 = _ _ _ T = n 2 T mid /6 = _ _ . _ _ = .05, 9 6 z /2 = _ . _ _ T1 = 252 . [Tmin, Tmax] = [ _ _ _ , _ _ _ ] T = Tmid = (Tmin+Tmax)/2 = _ _ _ T = n 2 T mid /6 = _ _ . _ _ = .05, 22 3, 8 10 Acceptance interval = T+ z /2 T = _ _ _ + ( _ . _ _ )( _ _ . _ _ ) = [ _ _ . _ _ , _ _ _ . _ _ ]. 23, 16 z /2 = _ . _ _ Confidence interval = T1+ z /2 T = _ _ . _ + ( _ . _ _ )( _ _ . _ _ ) = [ _ _ . _ _ , _ _ _ . _ _ ]. 22, 15 16 12 Acceptance interval for T1 = T+ z /2 T = ( _ _ _ )+( _ . _ _ )( _ _ . _ _ ) = [ _ _ _ . _ _ , _ _ _ . _ _ ]. Confidence interval around T1 = T1+ z /2 T = ( _ _ _ )+( _ . _ _ )( _ _ . _ _ ) = [ _ _ _ . _ _ , _ _ _ . _ _ ]. z = (T1 T)/ T = = _ _ . _ _ p-value _ Conclusion: 15.6 (7). A memory drug is tested to see if it can imporve the memories of senior males (S) aged 65-70 to a level equal to that of young males (Y) in their 20 s. Nonsense syllables given to each male. Five minutes later count is taken of the number of syllables which could be recalled. Is there a significant difference in the number of syllables recalled by the medicated seniors and the number recalled by the young males? Y 3 6 4 8 7 1 1 2 7 8 S 1 0 4 1 2 8 0 2 2 3 Rank the data in increasing order. (Since n1= n2, either group can be population 1 and used for T 1. Pick S) 0 0 1 1 1 1 2 2 2 2 1.5 3 1.5 3 4.5 4 4.5 4 4.5 6 15 4.5 7 8.5 7 8.5 8 19 8.5 8 19 8.5 8 19 23, 22' 16 24, 23 z= _ _._ _ p-value 2 (.5 . _ _ _ _ ) = . _ _ _ Conclusion: 15.10(6). Circuit boards made by company A are compared with those by company B. The mean time before failure of each board is measured in months. There are 8 boards from A and 10 from B with the mean times to failure listed below. Find the acceptance and confidence intervals. Test for a difference between the boards for A and for B. You have two methods that apply, use the most accurate method. A 32 25 40 31 35 29 37 39 B 41 39 36 47 45 34 48 44 43 33 Ranking: 25 29 31 32 33 34 35 36 37 39 39 40 41 43 44 45 47 48 P1 = A?, B? circle one P2= A?, B? n1= __ Stated in terms of P1 and P2: Ha: [Tmin, Tmax] = Tmid = _ ...
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This lecture will not be included in the final exam
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This lecture will not be included in the final exam