tut_6_Chap_6_sol - CollegeofEngineering,QatarUniversity

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College of Engineering, Qatar University Page 1 of 6 Probability and Statistics, GENG200 2B Tutorial - 6 Question Sections 6-1 Page 203: 1) 6.1 2) 6-5 SOLUTION: 6-1. Sample average: mm 0044 . 74 8 035 . 592 1 = = = = n x x n i i Sample variance: () 2 2 2 1 1 2 2 8 1 2 8 1 ) mm ( 000022414 . 0 7 0001569 . 0 1 8 8 035 . 592 18031 . 43813 1 031 18 . 43813 035 . 592 = = = = = = = = = = n n x x s x x n i i n i i i i i i Sample standard deviation: mm 00473 . 0 000022414 . 0 = = s The sample standard deviation could also be found using ( ) s xx n i i n = = 2 1 1 where ( ) i i −= = 2 1 8 0 0001569 . Dot Diagram: .. . ..: . -------+---------+---------+---------+---------+---------diameter 73.9920 74.0000 74.0080 74.0160 74.0240 74.0320 There appears to be a possible outlier in the data set.
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College of Engineering, Qatar University Page 2 of 6 6-5. Sample average: 975 . 43 8 8 . 351 = = x Sample variance: () 143 . 151 7 998 . 1057 1 8 8 8 . 351 043 . 16528 1 403 . 16528 8 . 351 2 2 1 1 2 2 19 1 2 8 1 = = = = = = = = = = n n x x s x x n i i n i i i i i i Sample standard deviation: 294 . 12 143 . 151 = = s The sample standard deviation could also be found using 1 1 2 = = n x x s n i i where 998 . 1057 8 1 2 = = i i x x Dot Diagram: . . . . . .. .
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tut_6_Chap_6_sol - CollegeofEngineering,QatarUniversity

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