Hw3-sol - H.W 3 Solutions 1 Sample average 19 xi x i 1 19 272.82 19 14.359 min Sample variance 19 xi i 1 19 272.82 xi2 10333.8964 i 1 n n 2 xi x 2

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H.W. # 3 Solutions 1. Sample average: min 359 . 14 19 82 . 272 19 19 1 = = = = i i x x Sample variance: ( 29 2 2 2 1 1 2 2 19 1 2 19 1 (min) 47 . 356 18 49 . 6416 1 19 19 82 . 272 8964 . 10333 1 8964 . 10333 82 . 272 = = - - = - - = = = = = = = n n x x s x x n i i n i i i i i i Sample standard deviation: min 88 . 18 47 . 356 = = s The sample standard deviation could also be found using ( 29 s x x n i i n = - - = 2 1 1 where ( 29 49 . 6416 19 1 2 = - = i i x x
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2. a.) Sample average: mm n x x n i i 173 . 2 9 56 . 19 1 = = = = b.) Sample variance: ( 29 2 2 2 1 1 2 2 9 1 2 9 1 ) ( 4303 . 0 8 443 . 3 1 9 9 56 . 19 953 . 45 1 953 . 45 56 . 19 mm n n x x s x x n i i n i i i i i i = = - - = - - = = = = = = = Sample standard deviation: mm s 6560 . 0 4303 . 0 = = c.) Dot Diagram . . . . . . . .. -------+---------+---------+---------+---------+---------crack length 1.40 1.75 2.10 2.45 2.80 3.15 3. a) 184 . 7 8 47 . 57 1 = = = = n x x n i i b) ( 29 000427 . 0 7 00299 . 0 1 8 8 47 . 57 853 . 412 1 2 2 1 1 2 2 = = - - = - - = = = n n x x s n i i n i i 02066 . 0 000427 . 0 = = s c) Examples: repeatability of the test equipment, time lag between samples, during which the pH of the solution could change, and operator skill in drawing the sample or using the instrument.
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4. Stem-and-leaf of concentration N = 60 Leaf Unit = 1.0 2|2 represents 29 Note: Minitab has dropped the value to the right of the decimal to make this display. 1
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This note was uploaded on 04/08/2008 for the course STAT 122 taught by Professor Elkamel during the Spring '08 term at Waterloo.

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Hw3-sol - H.W 3 Solutions 1 Sample average 19 xi x i 1 19 272.82 19 14.359 min Sample variance 19 xi i 1 19 272.82 xi2 10333.8964 i 1 n n 2 xi x 2

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