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ch02 - Chapter 2 Section 2-1 2-1 Sample average x= i =1 xi...

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Chapter 2 Section 2-1 2-1. Sample average: 09 . 56 12 1 . 673 12 12 1 1 = = = = = = i i n i i x n x x Sample standard deviation: ( 29 33 . 11 43 . 128 11 70 . 1412 1 12 12 10 . 673 9168 1 39168 10 . 673 2 2 1 1 2 12 1 2 12 1 = = = - - = - - = = = = = = = 3 n n x x s x x n i i n i i i i i i Dot diagram : . . . : .. . . : . -------+---------+---------+---------+---------+---------suspended solids 32.0 40.0 48.0 56.0 64.0 72.0 2-2. Sample average : min 36 . 14 19 82 . 272 19 19 1 1 = = = = = = i i n i i x n x x Sample standard deviation : ( 29 min 88 . 18 (min) 48 . 356 18 59 . 6416 1 19 19 82 . 272 10334 1 10334 82 . 272 2 2 2 1 1 2 19 1 2 19 1 = = = - - = - - = = = = = = = n n x x s x x n i i n i i i i i i Dot diagram . . .:::.:. . .... . +---------+---------+---------+---------+---------+------- Breakdown time 0 15 30 45 60 75 2-3. Sample average : angstroms 43 . 1288 7 9019 7 7 1 1 = = = = = = i i n i i x n x x Sample standard deviation : ( 29 ( 29 angstroms angstroms 80 . 15 62 . 249 6 71 . 1497 1 7 7 9019 11621835 1 11621835 9019 2 2 2 1 1 2 7 1 2 7 1 = = = - - = - - = = = = = = = n n x x s x x n i i n i i i i i i Dot diagram :

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. . . . .. . -+---------+---------+---------+---------+---------+----- Thickness 1264.0 1272.0 1280.0 1288.0 1296.0 1304.0 2-4. Sample average : kN 22 . 126 18 2272 18 18 1 1 = = = = = = i i n i i x n x x Sample standard deviation : ( 29 kN 14 . 26 ) ( 24 . 683 17 11 . 11615 1 18 18 2272 298392 1 298392 2272 2 2 2 1 1 2 2 18 1 2 18 1 = = = - - = - - = = = = = = = kN n n x x s x x n i i n i i i i i i Dot Diagram : . : :: . :: . . : . . +---------+---------+---------+---------+---------+-------yield 90 105 120 135 150 165 2-5. Sample average : 98 . 43 8 8 . 351 8 8 1 1 = = = = = = i i n i i x n x x Sample standard deviation : ( 29 29 . 12 143 . 151 7 1058 1 8 8 8 . 351 04 . 16528 1 40 . 16528 8 . 351 2 2 1 1 2 8 1 2 8 1 = = = - - = - - = = = = = = = n n x x s x x n i i n i i i i i i Dot diagram : . . .. . .. . +---------+---------+---------+---------+---------+------- 24.0 32.0 40.0 48.0 56.0 64.0 2-6. Sample average : mm 173 . 2 9 56 . 19 9 9 1 1 = = = = = = i i n i i x n x x Sample standard deviation :
( 29 mm 6560 . 0 4304 . 0 8 443 . 3 1 9 9 56 . 19 953 . 45 1 953 . 45 56 . 19 2 2 1 1 2 9 1 2 9 1 = = = - - = - - = = = = = = = n n x x s x x n i i n i i i i i i Dot Diagram : . . . . . . . .. -------+---------+---------+---------+---------+--------- Crack length 1.40 1.75 2.10 2.45 2.80 3.15 2-7. The only data set that may have resulted from a designed experiment is in Exercise 2-4.

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Section 2-2 2-8. The stem and leaf display for weld strength N = 100 Leaf Unit = 1.0 1 532 9 1 533 2 534 2 4 535 47 5 536 6 9 537 5678 20 538 12345778888 26 539 016999 37 540 11166677889 46 541 123666688 (13) 542 0011222357899 41 543 01111556 33 544 00012455678 22 545 233447899 13 546 23569 8 547 357 5 548 11257 2-9. a) Stem-and-leaf display for cycles: unit = 100 1|2 represents 1200 1 0T|3 1 0F| 5 0S|7777 10 0o|88899 22 1*|000000011111 33 1T|22222223333 (15) 1F|444445555555555 22 1S|66667777777 11 1o|888899 5 2*|011 2 2T|22 b) No, only 5/70 survived beyond 2000 cycles. 2-10. Stem-and-leaf of Suspended solids N = 60 Leaf Unit = 1.0 1 2 9 2 3 1 3 3 9 8 4 22223 12 4 5689 20 5 01223444 (13) 5 5666777899999 27 6 11244 22 6 556677789 13 7 022333 7 7 6777 3 8 01 1 8 9 2-11. Stem-and-leaf display for yield: unit = 1 1|2 represents 12 1 7o|8 1 8*|
7 8T|223333 21 8F|44444444555555 38 8S|66666666667777777 (11) 8o|88888999999 41 9*|00000000001111 27 9T|22233333 19 9F|444444445555 7 9S|666677 1 9o|8 2-12. Variable N Median Q1 Q3 5 th 95 th Weld strength 100 5421.5 5399.0 5445.8 5367.05 5476.49 2-13. Variable N Median Q1 Q3 5 th 95 th Cycles 70 1436.5 1097.8 1735.0 746.54 2060.78 2-14. Variable N Median Q1 Q3 5 th 95 th Solids 60 59.45 52.03 68.35 39.482 80.252 2-15. Variable N Median Q1 Q3 5 th 95 th Yield 90 89.25 86.10 93.125 82.316 96.435

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Section 2-3 2-16.
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