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Unformatted text preview: 2, 2, 4, 3, 4, 5 H : m N = m A H : m N > m A three 1s five 2s seven 3s eight 4s seven 5s one N, two A one N, four A four N, three A three N, five A six N, one A would have been ranked 1, 2, 3 would have been ranked 4, 5, 6, 7, 8 would have been ranked 9, 10, 11, 12, 13, 14, 15 would have been ranked 16, 17, 18, 19, 20, 21, 22, 23 would have been ranked 24, 25, 26, 27, 28, 29, 30 average = 2 average = 6 average = 12 average = 19.5 average = 27 W N = 1 2 + 1 6 + 4 12 + 3 19.5 + 6 27 = 276.5. W A = 2 2 + 4 6 + 3 12 + 5 19.5 + 1 27 = 188.5. Note that 276.5 + 188.5 = 465 = ( ) 2 1 30 30 + . Z = 12 31 15 15 2 31 15 5 . 276 = 1.825 . pvalue = P ( Z 1.825 ) = 0.034 . pvalue < Reject H . OR Z = 12 31 15 15 2 31 15 5 . 188 = 1.825 . pvalue = P ( Z 1.825 ) = 0.034 . pvalue < Reject H ....
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This note was uploaded on 11/15/2011 for the course STAT 409 taught by Professor Stephanov during the Fall '11 term at University of Illinois at Urbana–Champaign.
 Fall '11
 STEPHANOV

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