civ245mid2soln

Probability and Statistics for Engineering and the Sciences/Book and Disk

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Unformatted text preview: CIV 245, Princeton University Fall 1997 Example Midterm #2 Problem Solutions 2 4 5 7 9 11 13 15 17 18 19 20 21 22 24 0:90 q = x + (t0:05;n,1)( pn ) s 3 biased Note: this problem should read P X 6 8 10 12 14 16 0:314 175 q 16 a) 62 ^ = 13 1 n i=1 n X b) xi 2 with 9 dof's n ^ = Pn i=1 xi ,0:338 1 , 2 0:438 a) 0:36 0:36 a) [1004:8; 1023:2] b) [1004:3; 1023:7] b) 0:7888 a) [547:1; 552:9] 84 ^ = Pn b) [29:88; 94:84] ,n i=1 ln(xi ) c) 68 b) [99:27; 100:73] c) [149:32; 150:68] a) xAB = 100; s2 = 0:19; xBC = 50; s2 = 0:04 AB BC a) don't reject Ho b) [16:74; 27:26] a) x = 7:46; s2 = 0:0043 b) [7:422; 7:498] c) yes conclude that p 0:01 (since z = 4:96 2:58) 23 ^ reject the claim reject claim at 5% sig. level ...
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